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SANO Hideki
Graduate School of System Informatics / Department of System Informatics
Professor

Researcher basic information

■ Research Keyword
  • semigroup
  • backstepping
  • time-delay system
  • distributed parameter system
■ Research Areas
  • Natural sciences / Applied mathematics and statistics

Research activity information

■ Paper
  • Hideki Sano, Jeanne Redaud
    Elsevier BV, Aug. 2024, Systems & Control Letters, 190, 105855 - 105855, English, International magazine, Co-authored internationally
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • Synchronization of chaotic hyperbolic PDE systems for image encryption using backstepping observer design
    Jeanne Redaud, Hideki Sano
    Jun. 2024, Proceedings of the 2024 European Control Conference, 376 - 381, English, International magazine, Co-authored internationally
    [Refereed]
    International conference proceedings

  • Numerical analysis of a chaotic coupled hyperbolic PDE system for secure image encryption
    Jeanne Redaud, Hideki Sano
    Jun. 2024, IFAC-PapersOnLine 58-5 (Proceedings of the 7th IFAC Conference on Analysis and Control of Nonlinear Dynamics and Chaos), 138 - 143, English, International magazine, Co-authored internationally
    [Refereed]
    International conference proceedings
    Link to Kobe Univ. Repository (Kernel)

  • Hideki Sano, Toshikazu Kuniya
    Sep. 2023, Automatica, 155, 111091 - 111091, English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • Hideki Sano
    Jul. 2023, IFAC-PapersOnLine 56-2 (Proceedings of the 22nd IFAC World Congress), 9942 - 9947, English, International magazine
    [Refereed]
    International conference proceedings
    Link to Kobe Univ. Repository (Kernel)

  • 集中系・分布系のカオス同期化を用いたRGB画像の秘匿通信
    佐野英樹, 原下友輔
    Jun. 2023, 計測自動制御学会論文集, 59(6) (6), 297 - 304, Japanese
    [Refereed]
    Scientific journal

  • Hideki Sano, Masashi Wakaiki, Takaharu Yaguchi
    Research Institute of Signal Processing, Japan, Nov. 2022, Journal of Signal Processing, 26(6) (6), 147 - 158, English
    [Refereed]
    Scientific journal

  • Hideki Sano, Masashi Wakaiki
    Informa UK Limited, Sep. 2022, SICE Journal of Control, Measurement, and System Integration, 15(2) (2), 182 - 190, English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • Observers for 2 x 2 hyperbolic systems with coupled nonlocal boundary condition
    Hideki Sano
    May 2022, Proceedings of the 13th Asian Control Conference, 1250 - 1255, English
    [Refereed]
    International conference proceedings

  • Masashi Wakaiki, Hideki Sano

    <p style='text-indent:20px;'>This paper addresses the following question: "Suppose that a state-feedback controller stabilizes an infinite-dimensional linear continuous-time system. If we choose the parameters of an event/self-triggering mechanism appropriately, is the event/self-triggered control system stable under all sufficiently small nonlinear Lipschitz perturbations?" We assume that the stabilizing feedback operator is compact. This assumption is used to guarantee the strict positiveness of inter-event times and the existence of the mild solution of evolution equations with unbounded control operators. First, for the case where the control operator is bounded, we show that the answer to the above question is positive, giving a sufficient condition for exponential stability, which can be employed for the design of event/self-triggering mechanisms. Next, we investigate the case where the control operator is unbounded and prove that the answer is still positive for periodic event-triggering mechanisms.</p>

    American Institute of Mathematical Sciences (AIMS), Mar. 2022, Mathematical Control and Related Fields, 12(1) (1), 245 - 273, English
    [Refereed]
    Scientific journal

  • Hideki Sano, Masashi Wakaiki
    Institute of Electrical and Electronics Engineers (IEEE), Oct. 2021, IEEE Transactions on Automatic Control, 66(10) (10), 4982 - 4989, English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • Yuhan Chen, Hideki Sano, Masashi Wakaiki, Takaharu Yaguchi
    In a secret communication system using chaotic synchronization, the communication information is embedded in a signal that behaves as chaos and is sent to the receiver to retrieve the information. In a previous study, a chaotic synchronous system was developed by integrating the wave equation with the van der Pol boundary condition, of which the number of the parameters are only three, which is not enough for security. In this study, we replace the nonlinear boundary condition with an artificial neural network, thereby making the transmitted information difficult to leak. The neural network is divided into two parts; the first half is used as the left boundary condition of the wave equation and the second half is used as that on the right boundary, thus replacing the original nonlinear boundary condition. We also show the results for both monochrome and color images and evaluate the security performance. In particular, it is shown that the encrypted images are almost identical regardless of the input images. The learning performance of the neural network is also investigated. The calculated Lyapunov exponent shows that the learned neural network causes some chaotic vibration effect. The information in the original image is completely invisible when viewed through the image obtained after being concealed by the proposed system. Some security tests are also performed. The proposed method is designed in such a way that the transmitted images are encrypted into almost identical images of waves, thereby preventing the retrieval of information from the original image. The numerical results show that the encrypted images are certainly almost identical, which supports the security of the proposed method. Some security tests are also performed. The proposed method is designed in such a way that the transmitted images are encrypted into almost identical images of waves, thereby preventing the retrieval of information from the original image. The numerical results show that the encrypted images are certainly almost identical, which supports the security of the proposed method.
    MDPI AG, Jul. 2021, Entropy, 23(7) (7), 904 - 904, English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • Hideki Sano
    Elsevier BV, May 2021, Automatica, 127, 109540 - 109540, English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • 分布系のカオス同期化を用いた秘匿通信システム
    佐野英樹, 若生将史, 谷口隆晴
    Feb. 2021, 計測自動制御学会論文集, 57(2) (2), 78 - 85, Japanese
    [Refereed]

  • Event-triggered control of infinite-dimensional systems
    Masashi Wakaiki, Hideki Sano
    Feb. 2020, SIAM Journal on Control and Optimization, 58(2) (2), 605 - 635, English
    [Refereed]
    Scientific journal

  • Sampled-data output regulation of well-posed infinite-dimensional systems with constant reference and disturbance signals
    Masashi Wakaiki, Hideki Sano
    Jan. 2020, Mathematics of Control, Signals, and Systems, 32(1) (1), 1 - 58, English
    [Refereed]
    Scientific journal

  • 非局所境界条件に無駄時間を含む1階双曲型システムに対するオブザーバ：誤差システムのL2-安定性
    佐野 英樹, 若生 将史, 丸山 颯天
    Sep. 2019, 計測自動制御学会論文集, 55(9) (9), 582 - 584, Japanese
    [Refereed]
    Scientific journal

  • SANO HIDEKI, WAKAIKI MASASHI
    Jul. 2019, Japan Journal of Industrial and Applied Mathematics, 36(2) (2), 325 - 355, English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • SANO HIDEKI, WAKAIKI MASASHI, MARUYAMA HAYATE
    Oct. 2018, IFAC-PapersOnLine 51-32 (Proceedings of the 17th IFAC Workshop on Control Applications of Optimization CAO'2018), 456 - 461, English
    [Refereed]
    International conference proceedings

  • SANO HIDEKI
    Sep. 2018, IEEE Transactions on Automatic Control, 63(9) (9), 3105 - 3111, English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • Hideki Sano, Shigeki Morimoto
    Springer Tokyo, Jul. 2018, Japan Journal of Industrial and Applied Mathematics, 35(2) (2), 477 - 496, English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • Hideki Sano
    Elsevier Ltd, Jun. 2018, Automatica, 92, 49 - 55, English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • Hideki Sano
    Elsevier B.V., Jan. 2018, Systems and Control Letters, 111, 34 - 39, English
    [Refereed]
    Scientific journal

  • H. Sano
    Feb. 2017, BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 65(1) (1), 11 - 19, English
    [Refereed]
    Scientific journal

  • Toshikazu Kuniya, Hideki Sano
    May 2016, THEORETICAL BIOLOGY AND MEDICAL MODELLING, 13(1) (1), English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • Hideki Sano
    2016, IFAC PAPERSONLINE, 49(8) (8), 43 - 47, English
    [Refereed]
    International conference proceedings

  • Hideki Sano
    2016, KYBERNETIKA, 52(5) (5), 824 - 835, English
    [Refereed]
    Scientific journal

  • Hideki Sano
    Oct. 2015, IFAC-PapersOnLine, 28(25) (25), 50 - 55, English
    [Refereed]
    International conference proceedings

  • H. Sano
    Mar. 2015, BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 63(1) (1), 295 - 303, English
    [Refereed]
    Scientific journal

  • Hideki Sano
    Feb. 2015, IFAC-PapersOnLine, 28(1) (1), 755 - 760, English
    [Refereed]
    International conference proceedings

  • Modal control of linear parabolic systems with internal feedback loop
    SANO HIDEKI
    Nov. 2014, Advances in Differential Equations and Control Processes, 14(1) (1), 55 - 70, English
    [Refereed]
    Scientific journal

  • Hideki Sano
    2014, 2014 INTERNATIONAL CONFERENCE ON MATHEMATICS AND COMPUTERS IN SCIENCES AND IN INDUSTRY (MCSI 2014), 261 - 266, English
    [Refereed]
    International conference proceedings

  • Hideki Sano
    Dec. 2013, IMA Journal of Mathematical Control and Information, 30(4) (4), 463 - 472, English
    [Refereed]
    Scientific journal

  • Modal control of a diffusion system related to linear formations
    SANO HIDEKI
    Feb. 2013, Advances in Differential Equations and Control Processes, 11(1) (1), 53 - 70, English
    [Refereed]
    Scientific journal

  • On output tracking control of a parallel-flow heat exchanger equation with diffusive terms
    MATSUMOTO KOUTA, SANO HIDEKI
    Oct. 2012, JP Journal of Heat and Mass Transfer, 6(3) (3), 213 - 222, English
    [Refereed]
    Scientific journal

  • Dirichlet boundary control of an unstable ODE plant with a diffusion process in the actuation path
    SANO HIDEKI
    Jul. 2012, Proceedings of MTNS'12, Melbourne, Australia, English
    [Refereed]
    International conference proceedings

  • SANO HIDEKI
    Apr. 2012, 計測自動制御学会論文集, 48(4) (4), 185 - 192, Japanese
    [Refereed]
    Scientific journal

  • Hideki Sano
    Apr. 2012, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 388(2) (2), 1194 - 1204, English
    [Refereed]
    Scientific journal

  • Feedback stabilization of an unstable ODE plant with a diffusion process in the actuation path: an RMF approach
    Sano Hideki
    Dec. 2011, Proceedings of EUROSIAM'11, 53-60, English
    [Refereed]
    Scientific journal

  • Sano Hideki, Umezono Taichi, Nanjo Masafumi, Egashira Yusuke
    This paper is concerned with the problem of enhancing the stability of a parallel-flow heat exchanger equation with diffusive terms, under boundary control and boundary observation. By introducing two new variables, the system is expressed as two decoupled subsystems, where each subsystem is exponentially stable. In order to enhance the stability of the whole system, we use a backstepping method to construct infinite-dimensional observer-based controllers for each subsystem. The Lyapunov method is successfully applied to prove the closed-loop stability with the controller. This paper gives the controller design for the case of collocated sensor and actuator as well as for the anticollocated case.
    THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE), Nov. 2011, Transactions of the Institute of Systems, Control and Information Engineers, 24(11) (11), 269 - 279, Japanese
    [Refereed]
    Scientific journal

  • Hideki Sano
    Nov. 2011, SYSTEMS & CONTROL LETTERS, 60(11) (11), 917 - 921, English
    [Refereed]
    Scientific journal

  • Output tracking control of a diffusion process with boundary inputs
    Sano Hideki
    Jun. 2011, JP Journal of Applied Mathematics, 1, no.1, 19-34, English
    [Refereed]
    Scientific journal

  • Hideki Sano
    May 2011, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 377(2) (2), 807 - 816, English
    [Refereed]
    Scientific journal

  • Neumann boundary stabilization of a coupled transport-diffusion system with boundary outputs: a backstepping approach
    Sano Hideki
    Feb. 2011, Advances in Differential Equations and Control Processes, 7, no. 1, 1-14, English
    [Refereed]
    Scientific journal

  • Switching control of parallel-flow heat exchange processes
    Hideki Sano
    WSEAS Press, Oct. 2010, Selected Topics in System Science & Simulation in Engineering, 253 - 258, English
    [Refereed]
    International conference proceedings

  • Boundary reachability of a parallel-flow three-fluid diffusive heat exchange process
    Shin-ichi Nakagiri, Hideki Sano
    May 2010, Advances in Dynamical Systems and Control: Proceedings of the 6th WSAES Internat. Conference on Dynamical Systems and Control, 1, 60-67
    [Refereed]
    Scientific journal

  • Hideki Sano, Shin-ichi Nakagiri
    Mar. 2010, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 363(1) (1), 57 - 72, English
    [Refereed]
    Scientific journal

  • Supplement to: `Boundary stabilization of hyperbolic systems related to overhead cranes' [H.Sano, IMA J. Math. Control Inf. (2008) vol.25, 353-366, doi:10.1093/imamci/dnm031]
    Sano Hideki
    Jun. 2009, IMA Journal of Mathematical Control and Information, 26, 231-237, English
    [Refereed]
    Scientific journal

  • Sano Hideki, Nakagiri Shin-ichi
    This paper is concerned with the problems of reachability and observability of a plug-flow reactor equation with diffusion term. It is shown that the system with boundary inputs is formulated as an well-defined boundary control system, and that it is approximately reachable at any time through a Fourier series expansion of the solution. It is also shown that the boundary control system associated with only one boundary input is approximately reachable except for special values of diffusion and reaction constants, and the unreachable subspace is determined for the exceptional boundary control systems. Furthermore, the results concerning observability are derived through a concrete expression of the solution to the system of plug-flow reactor diffusion equation with the output equation.
    THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE), May 2009, Transactions of the Institute of Systems, Control and Information Engineers, 22(5) (5), 177 - 190, Japanese
    [Refereed]
    Scientific journal

  • Hideki Sano, Shin-ichi Nakagiri
    May 2009, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 85(5) (5), 61 - 66, English
    [Refereed]
    Scientific journal

  • Stabilization of transport-diffusion equations with boundary input
    Sano Hideki, Nakagiri Shin-ichi
    Kyoto University, Apr. 2009, RIMS Kokyuroku "Dynamics of Functional Equations and Mathematical Models", vol. 1637, 120-132, 120 - 132, Japanese
    International conference proceedings

  • Reachability and observability of a plug-flow reactor diffusion equation
    Nakagiri Shin-ichi, Sano Hideki
    Kyoto University, Apr. 2009, RIMS Kokyuroku "Dynamics of Functional Equations and Mathematical Models", vol. 1637, 107-119, 107 - 119, Japanese
    International conference proceedings

  • Feedback Control of Parallel-Flow Heat Exchanger Equations Using a Forwardstepping Method
    Hideki Sano, Shin-Ichi Nakagiri
    2009, RECENT ADVANCES IN APPLIED MATHEMATICS, 1, 106 - 111, English
    [Refereed]
    International conference proceedings

  • Backstepping Boundary Control of First-order Coupled Hyperbolic Partial Integro-differential Equations
    Hideki Sano, Shin-Ichi Nakagiri
    2009, RECENT ADVANCES IN APPLIED MATHEMATICS, 1, 112 - 119, English
    [Refereed]
    International conference proceedings

  • Boundary stabilization of a string with two rigid loads: calculation of optimal feedback gain based on a finite difference approximation
    SANO HIDEKI
    Dec. 2008, International Journal of Mathematical Models and Methods in Applied Sciences, 2(4) (4), 513 - 522, English
    [Refereed]
    Scientific journal

  • On reachability of a parallel-flow three-fluid heat exchange process with boundary inputs
    SANO HIDEKI
    Oct. 2008, JP Journal of Heat and Mass Transfer, 2(3) (3), 327 - 338, English
    [Refereed]
    Scientific journal

  • Hideki Sano
    Sep. 2008, IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 25(3) (3), 353 - 366, English
    [Refereed]
    Scientific journal

  • Variable structure control for a class of nonlinear systems: an approach based on piecewise linear models
    J Koushima, Hideki Sano, H Takata
    2008, International Journal of Factory Automation, Robotics and Soft Computing, ISSN 1828-6984, Issue 2, 132 - 137, English
    [Refereed]
    Scientific journal

  • Hideki Sano
    Mar. 2007, IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 24(1) (1), 137 - 147, English
    [Refereed]
    Scientific journal

  • SANO Hideki
    This paper is concerned with the problems of reachability and observability of a plug-flow reactor equation. It is shown that the system with boundary inputs is formulated as an well-defined boundary control system, and that it is reachable through a concrete expression of the solution. In addition, the reachable subspace is characterized for the case where only one boundary input is added to the system. Furthermore, the results concerning observability are derived through a concrete expression of the solution to the dual system of the plug-flow reactor equation with the output equation.
    THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE), 2007, Transactions of the Institute of Systems, Control and Information Engineers, 20(12) (12), 457 - 464, Japanese
    [Refereed]

  • Hideki Sano
    Jan. 2007, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 83(1) (1), 1 - 4, English
    [Refereed]
    Scientific journal

  • A numerical study on stabilization of distributed parameter overhead crane models
    M Otanaka, Hideki Sano
    2007, International Journal of Factory Automation, Robotics and Soft Computing, ISSN 1828-6984, Issue 3, 158 - 163, English
    [Refereed]
    Scientific journal

  • Hideki Sano, Masashi Otanaka
    Oct. 2006, JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 23(3) (3), 225 - 237, English
    [Refereed]
    Scientific journal

  • H Sano, N Kunimatsu
    Aug. 2005, IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 50(8) (8), 1200 - 1205, English
    [Refereed]
    Scientific journal

  • SANO Hideki, KUNIMATSU Noboru
    This paper is concerned with stability analysis of parallel-flow heat exchanger equations with boundary feedback. The parallel-flow heat exchanger equation is super-stable when the boundary inputs are identically zero. However, when a pole assignment problem is considered, a suitable output feedback law needs to be added to the equation in order to produce finite poles. In this paper, it is shown that a C0-semigroup generated by the closed-loop operator, which consists of the parallel-flow heat exchanger equation and an output feedback law, satisfies the spectrum determined growth assumption.
    THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE), 2005, Transactions of the Institute of Systems, Control and Information Engineers, 18(6) (6), 222 - 228, Japanese
    [Refereed]

  • 三原義樹, 佐野英樹
    一般社団法人 システム制御情報学会, 2005, システム制御情報学会論文誌, 18(9) (9), 340 - 342, Japanese
    [Refereed]

  • SANO HIDEKI
    This paper is concerned with sampled-data H∞ control of linear parabolic systems with unbounded output operators. It is assumed that the input and output spaces are finite-dimensional. For the infinite-dimensional continuous-time system with an ideal sampler and a zero-order hold, the aim is to construct a finite-dimensional discrete-time stabilizing controller that makes the L2-induced norm of the feedback sampled-data system less than a given positive number δ. For that purpose, the infinite-dimensional continuous-time system is formulated as an infinite-dimensional discrete-time system by using a lifting technique. Based on a reduced-order model with a finite-dimensional state space for the infinite-dimensional discrete-time system, a finite-dimensional controller containing a residual mode filter is designed to provide the desirable performance.
    The Society of Instrument and Control Engineers, 2004, 計測自動制御学会論文集, 40(9) (9), 915 - 924, Japanese
    [Refereed]
    Scientific journal

  • H Sano
    Dec. 2003, SYSTEMS & CONTROL LETTERS, 50(5) (5), 363 - 369, English
    [Refereed]
    Scientific journal

  • H Sano
    Aug. 2003, JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 340(5) (5), 293 - 306, English
    [Refereed]
    Scientific journal

  • H Sano
    Feb. 2003, INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 34(3) (3), 205 - 214, English
    [Refereed]
    Scientific journal

  • Hideki Sano
    Dec. 2002, IMA Journal of Mathematical Control and Information, 19(4) (4), 477 - 491, English
    [Refereed]
    Scientific journal

  • H Sano
    Nov. 1999, INTERNATIONAL JOURNAL OF CONTROL, 72(16) (16), 1466 - 1479, English
    [Refereed]
    Scientific journal

  • H Sano, Y Sakawa
    1999, SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 37(2) (2), 409 - 428, English
    [Refereed]
    Scientific journal

  • H Sano, N Kunimatsu
    Jun. 1998, INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 29(6) (6), 643 - 651, English
    [Refereed]
    Scientific journal

  • Noboru Kunimatsu, Hideki Sano
    Oxford University Press, 1998, IMA Journal of Mathematical Control and Information, 15(4) (4), 317 - 330, English
    [Refereed]
    Scientific journal

  • Nonlinear model and linear robust control of overhead traveling cranes
    Y Sakawa, H Sano
    Dec. 1997, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 30(4) (4), 2197 - 2207, English
    [Refereed]
    Scientific journal

  • H Sano
    Dec. 1997, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 216(2) (2), 667 - 684, English
    [Refereed]
    Scientific journal

  • AN APPLICATION OF INERTIAL MANIFOLD THEORY TO BOUNDARY STABILIZATION OF SEMILINEAR DIFFUSION-SYSTEMS
    H SANO, N KUNIMATSU
    Nov. 1995, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 196(1) (1), 18 - 42, English
    [Refereed]
    Scientific journal

  • SANO HIDEKI, 国松 昇
    This paper is concerned with the stabilization problem of semilinear distributed parameter systems with unbounded output operators. Especially, the output operators are assumed to be Aγ-bounded. For example, the semilinear diffusion system with boundary control and boundary observation is formulated as a semilinear evolution equation with Aγ-bounded output operator in a Hilbert space. Balas has shown that a nonlinear finite-dimensional controller with a nonlinear residual mode filter can produce closedloop stability with a given semilinear distributed parameter system with bounded input and output operators. However, he does not discuss on the systems with unbounded input operators or unbounded output operators.
    In this paper, we show that Balas-type of nonlinear controller is also effective for the semilinear distributed parameter system with Aγ-bounded output operator. Then, we can give the decay rate of the closed-loop system by using the modified Gronwall's inequality. Moreover, it is shown that the use of nonlinear controller in the above brings more preferable result than the use of linear controller with a usual residual mode filter.
    The Society of Instrument and Control Engineers, 1995, 計測自動制御学会論文集, 31(1) (1), 38 - 47, Japanese
    [Refereed]
    Scientific journal

  • H SANO, N KUNIMATSU
    Sep. 1994, APPLIED MATHEMATICS LETTERS, 7(5) (5), 17 - 22, English
    [Refereed]
    Scientific journal

  • N KUNIMATSU, H SANO
    Aug. 1994, INTERNATIONAL JOURNAL OF CONTROL, 60(2) (2), 243 - 263, English
    [Refereed]
    Scientific journal

  • H SANO, N KUNIMATSU
    Feb. 1994, SYSTEMS & CONTROL LETTERS, 22(2) (2), 145 - 156, English
    [Refereed]
    Scientific journal

  • Hideki Sano, Noboru Kunimatsu
    1994, IMA Journal of Mathematical Control and Information, 11(1) (1), 75 - 92, English
    [Refereed]
    Scientific journal

■ MISC
  • 双曲型システムの展望 ― 境界制御／境界観測系の新しい定式化
    佐野 英樹
    Aug. 2021, システム/制御/情報, 65(8) (8), 336 - 339, Japanese
    Introduction scientific journal

  • 分布定数系のカオスとその応用について
    佐野 英樹, 若生 将史, 谷口 隆晴
    Aug. 2021, システム/制御/情報, 65(8) (8), 305 - 310, Japanese
    Introduction scientific journal

  • 強連続半群と制御理論
    若生 将史, 佐野 英樹
    May 2021, 計測と制御, 60(5) (5), 369 - 374, Japanese
    Introduction scientific journal

  • 非局所境界条件に無駄時間を含む1階双曲型システムに対するオブザーバ：誤差システムのL2-安定性
    佐野 英樹, 若生 将史, 丸山 颯天
    Sep. 2019, 計測自動制御学会論文集, 55(9) (9), 582 - 584
    [Refereed]
    Report scientific journal

  • SANO HIDEKI
    In this note, we study the problem of designing observers for distributed parameter systems of parabolic type with sensor delay. In the work by Krstic & Smyshlyaev (2008), the case of ODE systems with sensor delay was treated and observers were derived using a backstepping method. In this note, we use a backstepping approach combined with the semigroup theory for the PDE systems mentioned above. It is shown that the sensor influence function should be chosen within some smooth functional space for observer design.
    The Society of Instrument and Control Engineers, Nov. 2017, 計測自動制御学会論文集, 53(11) (11), 621 - 623, Japanese
    [Refereed]
    Report scientific journal

  • 分布パラメータ・むだ時間と制御
    KOJIMA AKIRA, SANO HIDEKI
    計測自動制御学会, Apr. 2013, 計測と制御, 52(4) (4), 354 - 360, Japanese
    [Invited]
    Introduction scientific journal

  • SANO HIDEKI, MATSUMOTO KOUTA
    Oct. 2012, 計測自動制御学会論文集, 48(10) (10), 683 - 685, Japanese
    [Refereed]
    Report scientific journal

  • SANO HIDEKI
    THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE), Apr. 2012, システム制御情報学会論文誌, 25(4) (4), 101 - 103, Japanese
    [Refereed]
    Report scientific journal

  • SANO HIDEKI
    Mar. 2009, システム制御情報学会論文誌, 22(3) (3), 123 - 125, Japanese
    [Refereed]
    Report scientific journal

  • 境界入力をもつ移流拡散方程式系の安定化
    佐野英樹, 中桐信一
    2009, 京都大学数理解析研究所講究録1637「関数方程式のダイナミクスと数理モデル」, 120 - 132

  • Reachability and Observability of a Plug-Flow Reactor Diffusion Equation (Dynamics of Functional Equations and Mathematical Models)
    Nakagiri Shin-ichi, Sano Hideki
    Kyoto University, 2009, RIMS Kokyuroku, 1637, 107 - 119, Japanese

  • On Exponential Stability of Parallel-Flow Heat Exchanger Equations with Boundary Feedback
    SANO Hideki, KUNIMATSU Noboru
    システム制御情報学会, 15 Jun. 2005, Transactions of the Institute of Systems,Control and Information Engineers, 49(6) (6), 222 - 228, Japanese
    [Refereed]

  • SANO HIDEKI, 三原 義樹
    In this note, we discuss on the stability of neural networks for image restoration. The neural network treated here is described by a system of linear ordinary differential equations. Our aim is to give the convergence rate of the neural network. In particular, it is shown that, in the case where an image consists of a great many pixels, the convergence rate is derived based on the one of the corresponding partial differential equation.
    The Society of Instrument and Control Engineers, 2002, 計測自動制御学会論文集, 38(11) (11), 1003 - 1005, Japanese
    [Refereed]
    Report scientific journal

  • Switching Control of Working Heads considering Stability Radius
    下山泰治, 佐野英樹, 中島正治
    鹿児島大学, 1999, Reports of the Faculty of Science,Kagoshima University, 32(32) (32), 21 - 25, Japanese

■ Lectures, oral presentations, etc.
  • 変分埋め込み法を用いたSIRカトリエルモデルの係数決定
    小池 竜太朗, 佐野 英樹
    第67回自動制御連合講演会, Nov. 2024, Japanese, Domestic conference
    Oral presentation

  • カオス同期化と最小二乗法を用いた画像・音声データの秘匿通信
    小池 竜太朗, 佐野 英樹
    第11回計測自動制御学会制御部門マルチシンポジウム, Mar. 2024, Japanese, Domestic conference
    Poster presentation

  • Observers for hyperbolic systems with two delays in the nonlocal boundary condition and its application
    Hideki Sano, Jeanne Redaud
    2023年度 RIMS研究集会「時間遅れ系と数理科学：理論と応用の新たな展開に向けて」, Oct. 2023, Japanese, Domestic conference, Co-authored internationally
    [Invited]
    Invited oral presentation

  • 無限次元系のカオス同期化を用いた対称鍵生成と秘匿通信について
    佐野 英樹
    2022年度 応用数学合同研究集会, Dec. 2022, Japanese
    Oral presentation

  • 潜伏期間と観測遅れを伴うKermack-McKendrickモデルに対する状態推定
    佐野英樹, 若生将史
    第64回システム制御情報学会研究発表講演会, May 2020, Japanese

  • 無限次元系に対する自己駆動制御
    若生将史, 佐野英樹
    第64回システム制御情報学会研究発表講演会, May 2020, Japanese

  • 無限次元系のイベント駆動制御について
    若生 将史, 佐野 英樹
    2019年度 応用数学合同研究集会, Dec. 2019, 大津
    Oral presentation

  • 観測遅れを伴うKermack-McKendrickモデルに対する状態推定
    佐野 英樹, 若生 将史, 丸山 颯天
    2019年度 応用数学合同研究集会, Dec. 2019, 大津
    Oral presentation

  • 境界フィードバックループに無駄時間要素を含む1階双曲型システムの安定性解析
    佐野 英樹
    日本応用数理学会2019年 年会, Sep. 2019, 東京
    Oral presentation

  • 非局所境界条件にむだ時間を含む1階双曲型システムに対するオブザーバ設計と誤差システムのL2-安定性
    MARUYAMA HAYATE, SANO HIDEKI, WAKAIKI MASASHI
    第6回計測自動制御学会制御部門マルチシンポジウム, Mar. 2019, Japanese, Domestic conference
    Poster presentation

  • 無限次元システムのサンプル値サーボ問題について
    WAKAIKI Masashi, SANO HIDEKI
    2018年度 応用数学合同研究集会, Dec. 2018, Japanese, Domestic conference
    Oral presentation

  • 境界入力に無駄時間要素を含む1階双曲型システムの安定化について
    SANO HIDEKI, WAKAIKI MASASHI
    2018年度 応用数学合同研究集会, Dec. 2018, Japanese, 大津, Domestic conference
    Oral presentation

  • 非局所境界条件にむだ時間を含む双曲型システムに対する状態推定
    MARUYAMA HAYATE, SANO HIDEKI, WAKAIKI MASASHI
    日本応用数理学会2018年 年会, Sep. 2018, Japanese, 名古屋, Domestic conference
    Oral presentation

  • 入力に無駄時間要素を含む放物型システムの安定化について
    SANO HIDEKI
    Workshop on evolution equations and related topics, Sep. 2017, Japanese, 大阪大学待兼山会館（豊中キャンパス）, Domestic conference
    Oral presentation

  • 入力無駄時間要素をもつ熱拡散系のディリクレ境界安定化
    SANO HIDEKI
    第4回計測自動制御学会制御部門マルチシンポジウム, Mar. 2017, Japanese, 岡山, Domestic conference
    Oral presentation

  • 境界入力に無駄時間要素を含む熱拡散系の安定化について
    SANO HIDEKI
    2016年度 応用数学合同研究集会, Dec. 2016, Japanese, 大津, Domestic conference
    Oral presentation

  • 無限次元フィードバック系における安定半径の近似について
    SANO HIDEKI
    第59回自動制御連合講演会, Nov. 2016, Japanese, 北九州市, Domestic conference
    Oral presentation

  • 入力むだ時間を有する熱拡散系の安定化
    MORIMOTO SHIGEKI, SANO HIDEKI
    第59回自動制御連合講演会, Nov. 2016, Japanese, 北九州市, Domestic conference
    Oral presentation

  • 境界入力に無駄時間要素を含む熱拡散系の安定化について
    SANO HIDEKI
    非線形現象の特徴化に基づく制御理論調査研究会 第2回研究会, Nov. 2016, Japanese, 大阪, Domestic conference
    [Invited]
    Invited oral presentation

  • 動的境界条件をもつ分布定数回路の安定性について
    SANO HIDEKI
    第3回計測自動制御学会制御部門マルチシンポジウム, Mar. 2016, Japanese, 名古屋, Domestic conference
    Oral presentation

  • 無限次元制御系に対する安定半径の近似について
    SANO HIDEKI
    数理人口学・数理生物学セミナー, Jan. 2016, Japanese, 東京, Domestic conference
    Oral presentation

  • バックステッピング法に基づく感染症の初期流行予防のための人口制御
    KUNIYA Toshikazu, SANO Hideki
    第58回自動制御連合講演会, Nov. 2015, Japanese, Domestic conference
    Oral presentation

  • バックステッピング法に基づく感染症の初期流行予防のための人口制御
    KUNIYA Toshikazu, SANO Hideki
    日本応用数理学会2015年度年会, Sep. 2015, Japanese, Domestic conference
    Oral presentation

  • 並流型熱交換プロセスに関連した移流拡散系の境界制御
    SANO HIDEKI
    第1回制御部門マルチシンポジウム, Mar. 2014, Japanese, 計測自動制御学会制御部門, 東京, Domestic conference
    Oral presentation

  • 内部にフィードバックループを有する線形放物型システムのモード制御
    SANO HIDEKI
    環瀬戸内応用数理研究部会 第17回シンポジウム, Jan. 2014, Japanese, 日本応用数理学会, 松山市, Domestic conference
    Oral presentation

  • Stabilization of linear parabolic systems with internal feedback loop
    SANO HIDEKI
    岡山理科大学における微分方程式セミナー（微分方程式セミナー通算第36回）, Sep. 2013, Japanese, 岡山市, Domestic conference
    Oral presentation

  • フォーメーションに関連した放物型システムの制御について
    SANO HIDEKI
    第38回発展方程式研究会, Dec. 2012, Japanese, 東京, Domestic conference
    Oral presentation

  • Output tracking control of a parallel-flow heat exchanger equation with diffusive terms
    Matsumoto Kouta, Sano Hideki
    第61回理論応用力学講演会, Mar. 2012, Japanese, Tokyo, Domestic conference
    Oral presentation

  • 拡散プロセスを通して駆動される集中定数プラントの安定化
    Sano Hideki
    第37回発展方程式研究会, Dec. 2011, Japanese, Gifu, Domestic conference
    Oral presentation

  • On estimation of the initial value of a parallel-flow heat exchange process
    Sano Hideki, Matsumoto Kouta
    第54回自動制御連合講演会, Nov. 2011, Japanese, Toyohashi, Domestic conference
    Oral presentation

  • On stabilization of an unstable mixed parameter system
    Sano Hideki
    The 40th SICE Symposium on Control Theory, Sep. 2011, Japanese, 計測自動制御学会制御部門, Osaka, Domestic conference
    Oral presentation

  • Switching control of parallel-flow heat exchange processes
    Sano Hideki
    The 9th WSEAS International Conference on System Science and Simulation in Engineering, Oct. 2010, English, WSEAS, Iwate, Japan, International conference
    Oral presentation

  • Stabilization of the one-dimensional diffusion equation with boundary control and boundary observation
    Sano Hideki
    The 39th SICE Symposium on Control Theory, Sep. 2010, Japanese, 計測自動制御学会制御部門, Osaka, Domestic conference
    Oral presentation

  • Boundary reachability of a parallel-flow three-fluid diffusive heat exchange process
    Shin-ichi Nakagiri, Hideki Sano
    The 6th WSAES International Conference on Dynamical Systems and Control, May 2010, English, WSAES, Kantauri, Sousse, Tunisia, International conference
    Oral presentation

  • Feedback control of parallel-flow heat exchanger equations using a forwardstepping method
    Hideki Sano, Shin-ichi Nakagiri
    Japan Mathematical Society Annual Meeting 2010 March, Mar. 2010, Japanese, 日本数学会, Keio University, Domestic conference
    Oral presentation

  • Backstepping boundary control of first-order coupled hyperbolic partial integro-differential equations
    Shin-ichi Nakagiri, Hideki Sano
    Japan Mathematical Society Annual Meeting 2010 March, Mar. 2010, Japanese, 日本数学会, Keio University, Domestic conference
    Oral presentation

  • Stabilization of a coupled transport-diffusion system: a case with boundary control and boundary observation
    Sano Hideki
    Workshop on Mathematical Control Theory in Kobe, Jan. 2010, Japanese, Takigawa Memorial Hall, Kobe University, Domestic conference
    Oral presentation

  • Feedback control of parallel-flow heat exchanger equations using a forwardstepping method
    Hideki Sano, Shin-ichi Nakagiri
    The 14th WSAES International Conference on Applied Mathematics, Dec. 2009, English, WSAES, Puerto De La Cruz, Tenerife, Canary Island, Spain, International conference
    Oral presentation

  • Backstepping boundary control of first-order coupled hyperbolic partial integro-differential equations
    Hideki Sano, Shin-ichi Nakagiri
    The 14th WSAES International Conference on Applied Mathematics, Dec. 2009, English, WSAES, Puerto De La Cruz, Tenerife, Canary Island, Spain, International conference
    Oral presentation

  • 天井クレーンの分布定数モデルと安定化について
    Sano Hideki
    Kobe Analysis Seminar, Oct. 2009, Japanese, Graduate School of Science, Kobe University, Domestic conference
    Oral presentation

  • Boundary stabilization of a parallel-flow three-fluid heat exchange process considering diffusive effect
    Sano Hideki, Nakagiri Shin-ichi
    Japan Mathematical Society Annual Meeting 2009 September, Sep. 2009, Japanese, 日本数学会, Osaka University, Domestic conference
    Oral presentation

  • Boundary stabilization of a parallel-flow three-fluid heat exchange
    Hideki Sano, Shin-ichi Nakagiri
    Japan Mathematical Society Annual Meeting 2009 September, Sep. 2009, Japanese, 日本数学会, Osaka University, Domestic conference
    Oral presentation

  • Boundary reachability of a parallel-flow three-fluid diffusive heat exchange process
    Shin-ichi Nakagiri, Hideki Sano
    Japan Mathematical Society Annual Meeting 2009 September, Sep. 2009, Japanese, 日本数学会, Osaka University, Domestic conference
    Oral presentation

  • Boundary reachability of a parallel-flow three-fluid diffusive heat exchange process
    Nakagiri Shin-ichi, Sano Hideki
    Japan Mathematical Society Annual Meeting 2009 September, Sep. 2009, Japanese, 日本数学会, Osaka University, Domestic conference
    Oral presentation

  • Stabilization of a parallel-flow three-fluid diffusive heat exchange process with boundary input
    Sano Hideki
    Summer PDE Seminar 2009, Aug. 2009, Japanese, Ryukoku University Seminar House "Tomoikiso", Domestic conference
    Oral presentation

■ Affiliated Academic Society
  • The Institute of Systems, Control and Information Engineers

  • The Society of Instrument and Control Engineers

  • The Mathematical Society of Japan

  • The Japan Society for Industrial and Applied Mathematics

  • システム制御情報学会

  • 日本数学会

  • 計測自動制御学会

  • 日本応用数理学会

■ Research Themes
  • Synchronization control of hyperbolic equations with van der Pol boundary condition and its application to secure communication systems
    佐野 英樹
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Kobe University, Apr. 2021 - Mar. 2025
    本研究では、情報化社会で重要なセキュリティの強い秘匿通信システム(情報信号を暗号化／復号するシステム)を構築するために、カオス的な振動現象を引き起こす双曲型偏微分方程式に着目して、その同期化制御を取り上げている。本研究の目的は、カオスを発生させる非線形境界条件(具体的にはファン・デル・ポール境界条件)を有する双曲型偏微分方程式に対して、同期化のための制御則を設計し、それを用いて効率的でかつ安全性の高い秘匿通信システムを構築することである。 常微分方程式で記述されるシステムは集中定数系と言われ、その範疇ではカオス同期化を利用した秘匿通信システムの構築が1990年代半ば頃から多くの研究者によって考案されてきた。いずれもカオス的に振る舞う信号に通信情報を埋め込んで送信し、カオス同期化を利用してそれを取り出すという考え方に基づいている。それに対して、分布定数系のカオスを利用した秘匿通信システムの構築に関しては、佐野・若生・谷口の先行研究(SICE Trans. 2021年2月)があるが、そこでは双曲型偏微分方程式系の時空間異方性までは考慮されていなかった。すなわち、先行研究は分布定数系のカオスが秘匿通信に利用できるという可能性を示すものであり、セキュリティの強さを追求するものではなかった。令和3年度は時空間異方性を考慮した双曲型偏微分方程式系に拡張し、秘匿通信システムの安全性を数値実験にてError Function Attack (EFA)関数を用いて検証した。その結果、異方性そのものが暗号鍵として有用であることが明らかになった。

  • 佐野 英樹
    学術研究助成基金助成金／基盤研究(C), Apr. 2015 - Mar. 2019, Principal investigator
    Competitive research funding

  • 南部 隆夫
    学術研究助成基金助成金／基盤研究(C), Apr. 2013 - Mar. 2016
    Competitive research funding

  • 佐野 英樹
    学術研究助成基金助成金／基盤研究(C), 2011, Principal investigator
    Competitive research funding

  • 南部 隆夫
    科学研究費補助金／基盤研究(C), 2010
    Competitive research funding

  • 佐野 英樹
    科学研究費補助金／基盤研究(C), 2009, Principal investigator
    Competitive research funding

  • 放物型偏微分方程式系のサンプル値制御に関する理論的・数値実験的研究
    佐野英樹
    科学研究費 基盤研究(C)(2), Apr. 2004 - Mar. 2006, Principal investigator
    Competitive research funding

  • 慣性多様体と無限次元システムのロバスト安定化
    佐野英樹
    科学研究費 若手研究(B), Apr. 2002 - Mar. 2004, Principal investigator
    Competitive research funding

  • 放物型偏微分方程式系のロバスト制御
    佐野英樹
    科学研究費 奨励研究(A), Apr. 1999 - Mar. 2001, Principal investigator
    Competitive research funding

  • An algebraic method for boundary control systems of parabolic type
    NAMBU Takao, NAITO Yuki, TABATA Minoru, NAKAGIRI Shin-ichi, SANO Hideki
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Kobe University, 1998 - 1999
    1.Stabilization of linear parabolic systems by means of boundary feedback is studied. The boundary condition is partially of the first kind and partially of the third kind. An entirely new and simple algebraic transform (isomorphism in LィイD12ィエD1-spaces) is introduced for the complicated boundary condition. By introducing a finite-dimensional dynamic compensator of general type, stabilization is achieved for more complicated control systems. An algebraic structure of the so called Silvester equation with unbounded linear operators as coefficients is also studied. 2.Approximate null controllability problem is studied for a class of linear second order parabolic systems in Hilbert spaces by means of the so called HUM method. A numerical approximation of solutions to the sine-Gordon equation is also studied by means of FEM. 3.An integro-partial differential equation is established as a mathematical model for studing logistic growth of human population with migration. It is proven that the Cauchy problem admits the unique global solution in time. The asymptotic behavior of the solutions is also investigated. The property of solutions is used for explaining about the recent change of labor dynamics in European Continent. 4.A class of nonlinear elliptic partial differential equations is studied, where the appearing coefficients and the spatial domain has a kind of symmetry. Existence and uniqueness of solutions are proven via ODE approach. A generalization of the so called moving sphere method is also obtained. 5.Stabilization problem is studied for linear parabolic control systems by means of HィイD1∞ィエD1-control method. Robustness of the stabilizing feedback control scheme is proven in some topology. Another stabilization problem is also studied, where the sensors and actuators are periodic functions in time. By generalizing the result of Brunovsky (JDE, 1969), the stabilization is achieved.

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