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2010 Fiscal Year Final Research Report

Theoretical and Numerical Studies on Stabilization and Decay Rate Estimation of Hyperbolic Boundary Control Systems

Research Project

  • PDF
Project/Area Number 20540123
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionKagoshima University

Principal Investigator

SANO Hideki  Kagoshima University, 大学院・システム情報学研究科, 准教授 (70278737)

Project Period (FY) 2008 – 2010
Keywords双曲型システム / 境界制御 / 安定化 / 半群 / 天井クレーン / 並流型熱交換方程式 / プラグフロー反応方程式
Research Abstract

Through this study, three main results were obtained. They are summarized as follows: (1) Establishment of optimization method of parameters contained in the stabilizing control law for an overhead crane; (2) Design method of stabilizing controllers for a parallel-flow heat exchange process using a backstepping approach; (3) Design method of finite-dimensional stabilizing controllers for a plug-flow reactor process.

  • Research Products

    (10 results)

All 2011 2010 2009 2008

All Journal Article (5 results) (of which Peer Reviewed: 5 results) Presentation (5 results)

  • [Journal Article] Neumann boundary stabilization of a coupled transport-diffusion system with boundary outputs : a backstepping approach2011

    • Author(s)
      Hideki Sano
    • Journal Title

      Advances in Differential Equations and Control Processes Vol.7, No.1

      Pages: 1-14.

    • Peer Reviewed
  • [Journal Article] Neumann boundary control of a coupled transport-diffusion system with boundary observation2011

    • Author(s)
      Hideki Sano
    • Journal Title

      Journal of Mathematical Analysis and Applications Vol.377

      Pages: 807-816.

    • Peer Reviewed
  • [Journal Article] Stabilization of a coupled transport-1.522.5Case 1Case 2Case 31.522.5Case 1Case 2Case 3 diffusion system with boundary input2010

    • Author(s)
      Hideki Sano, Shin-ichi Nakagiri
    • Journal Title

      Journal of Mathematical Analysis and Applications Vol.363

      Pages: 57-72.

    • Peer Reviewed
  • [Journal Article] 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]2009

    • Author(s)
      Hideki Sano
    • Journal Title

      IMA Journal of Mathematical Control and Information Vol.26

      Pages: 231-237.

    • Peer Reviewed
  • [Journal Article] Boundary stabilization of a string with two rigid loads : calculation of optimal feedback gain based on a finite difference approximation2008

    • Author(s)
      Hideki Sano
    • Journal Title

      International Journal of Mathematical Models and Methods in Applied Sciences Vol.2

      Pages: 513-522.

    • Peer Reviewed
  • [Presentation] Switching control of parallel-flow heat exchange processes2010

    • Author(s)
      佐野英樹
    • Organizer
      The 9th WSEAS International Conference on System Science and Simulation in Engineering
    • Place of Presentation
      Hotel Appi Grand, Iwate, Japan.
    • Year and Date
      2010-10-04
  • [Presentation] Stabilization of a coupled transport-diffusion system : a case with boundary control and boundary observation2010

    • Author(s)
      佐野英樹
    • Organizer
      神戸数学的制御理論研究集会
    • Place of Presentation
      神戸大学瀧川記念会館.
    • Year and Date
      2010-01-08
  • [Presentation] Feedback control of parallel-flow heat exchanger equations using a forward-stepping method2009

    • Author(s)
      佐野英樹, 中桐信一
    • Organizer
      The 14th WSEAS International Conference on Applied Mathematics
    • Place of Presentation
      Puerto De La Cruz, Tenerife, Canary Islands, Spain.
    • Year and Date
      2009-12-16
  • [Presentation] Stabilization of a string with two rigid loads : application of optimal feedback gain based on a finite difference approximation2008

    • Author(s)
      佐野英樹
    • Organizer
      The 13th WSEAS International Conference on Applied Mathematics
    • Place of Presentation
      Puerto De La Cruz, Tenerife, Canary Islands, Spain.
    • Year and Date
      2008-12-16
  • [Presentation] 境界入力をもつ移流拡散方程式系の安定化2008

    • Author(s)
      佐野英樹, 中桐信一
    • Organizer
      京都大学数理解析研究所研究集会「関数方程式のダイナミクスと数理モデル」
    • Year and Date
      2008-11-06

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Published: 2012-01-26   Modified: 2016-04-21  

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