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Studies on Robust Stabilization of Evolution Equations with Unbounded Output Operators and its Applications

Research Project

Project/Area Number 23540137
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionKobe University

Principal Investigator

SANO HIDEKI  神戸大学, システム情報学研究科, 教授 (70278737)

Project Period (FY) 2011-04-28 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords混合定数系 / 移流拡散系 / 境界制御 / 境界観測 / 安定化 / 半群 / プラグフロー反応方程式 / 並流型熱交換方程式 / 線形放物型システム / スツルム・リゥヴィル型作用素 / フォーメーション / 有限次元コントローラ / 剰余モードフィルタ / 内部フィードバック / 安定半径 / カスケード接続 / 拡散プロセス / 移流拡散プロセス / 境界制御・境界観測
Outline of Final Research Achievements

Through this study, five results were obtained. They are summarized as follows: (1) Stabilization of mixed parameter systems; (2) Output tracking control of a diffusion process and a parallel-flow heat exchange process; (3) Stability-enhancing control of a plug-flow reactor process and a parallel-flow heat exchange process; (4) Formation control using partial differential equations; (5) Stabilization of linear parabolic systems with internal feedback loop.

Report

(5 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (29 results)

All 2015 2014 2013 2012 2011 Other

All Journal Article (17 results) (of which Peer Reviewed: 16 results,  Acknowledgement Compliant: 4 results,  Open Access: 1 results) Presentation (12 results)

  • [Journal Article] Boundary control of a parallel-flow heat exchange process with boundary observation2015

    • Author(s)
      Hideki Sano
    • Journal Title

      Preprints of the 8th Vienna International Conference on Mathematical Modelling

      Volume: Vol.1 Pages: 771-776

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Feedback stabilization of one-dimensional parabolic systems related to formations2015

    • Author(s)
      H. Sano
    • Journal Title

      Bulletin of the Polish Academy of Sciences, Technical Sciences

      Volume: Vol.63 Issue: 1 Pages: 295-303

    • DOI

      10.1515/bpasts-2015-0034

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Modal control of linear parabolic systems with internal feedback loop2014

    • Author(s)
      Hideki Sano
    • Journal Title

      Advances in Differential Equations and Control Processes

      Volume: Vol.14 Pages: 55-70

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Dirichlet boundary stabilization of unstable mixed parameter systems2014

    • Author(s)
      Hideki Sano
    • Journal Title

      Proceedings of the 2014 International Conference on Mathematics and Computers in Sciences and Industry

      Volume: Vol.1 Pages: 261-266

    • DOI

      10.1109/mcsi.2014.14

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 分布パラメータ・むだ時間と制御2013

    • Author(s)
      児島 晃, 佐野英樹
    • Journal Title

      計測と制御

      Volume: 52 Pages: 354-360

    • NAID

      10031166624

    • Related Report
      2013 Research-status Report
  • [Journal Article] Modal control of a diffusion system related to linear formations2013

    • Author(s)
      Hideki Sano
    • Journal Title

      Advances in Differential Equations and Control Processes

      Volume: Vol.11 Pages: 53-70

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] On observability gramian of a parallel-flow heat exchanger equation with diffusion terms2013

    • Author(s)
      Hideki Sano
    • Journal Title

      IMA J. Math. Control and Information

      Volume: ? Issue: 4 Pages: 463-472

    • DOI

      10.1093/imamci/dns037

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Dirichlet boundary control of an unstable ODE plant with a diffusion process in the actuation path2012

    • Author(s)
      Hideki Sano
    • Journal Title

      Proceedings of MTNS'12, 20th International Symposium on Mathematical Theory of Networks and Systems

      Volume: Vol.1 Pages: 8-8

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] On output tracking control of a parallel-flow heat exchanger equation with diffusive terms2012

    • Author(s)
      Kouta Matsumoto and Hideki Sano
    • Journal Title

      JP Journal of Heat and Mass Transfer

      Volume: Vol.6 Pages: 213-222

    • NAID

      130005020718

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] TSVDを用いた並流型熱交換プロセスの初期値推定について2012

    • Author(s)
      佐野英樹, 松元宏太
    • Journal Title

      計測自動制御学会論文集

      Volume: Vol.48 Pages: 683-685

    • NAID

      10031117748

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Stability-enhancing control of a coupled transport-diffusion system with Dirichlet actuation and Dirichlet measurement2012

    • Author(s)
      Hideki Sano
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: Vol.388 Issue: 2 Pages: 1194-1204

    • DOI

      10.1016/j.jmaa.2011.11.011

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] 有限次元コントローラを用いた不安定な混合定数系の安定化2012

    • Author(s)
      佐野英樹
    • Journal Title

      計測自動制御学会論文集

      Volume: Vol.48

    • NAID

      10030597369

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] あるPDEのバックステッピング制御に関連した二つの放物型システムの安定性について2012

    • Author(s)
      佐野英樹
    • Journal Title

      システム制御情報学会論文誌

      Volume: Vol.25 Pages: 101-103

    • NAID

      10030925433

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Output tracking control of a diffusion process with boundary inputs2011

    • Author(s)
      Hideki Sano
    • Journal Title

      JP Journal of Applied Mathematics

      Volume: Vol.1 Pages: 19-34

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Output tracking control of a parallel-flow heat exchange process2011

    • Author(s)
      Hideki Sano
    • Journal Title

      Systems & Control Letters

      Volume: Vol.60 Issue: 11 Pages: 917-921

    • DOI

      10.1016/j.sysconle.2011.07.011

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] バックステッピング法を用いた拡散項を有する並流型熱交換方程式の出力フィードバック制御2011

    • Author(s)
      佐野英樹, 楳園大知, 南條雅文, 江頭佑典
    • Journal Title

      システム制御情報学会論文誌

      Volume: Vol.24 Pages: 269-279

    • NAID

      10030510107

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Feedback stabilization of an unstable ODE plant with a diffusion process in the actuation path: an RMF approach2011

    • Author(s)
      Hideki Sano
    • Journal Title

      Proceedings of EUROSIAM'11

      Volume: Vol.1 Pages: 53-60

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Presentation] Boundary control of a parallel-flow heat exchange process with boundary observation2015

    • Author(s)
      Hideki Sano
    • Organizer
      The 8th Vienna International Conference on Mathematical Modelling
    • Place of Presentation
      Vienna (Austria)
    • Year and Date
      2015-02-19
    • Related Report
      2014 Annual Research Report
  • [Presentation] Dirichlet boundary stabilization of unstable mixed parameter systems2014

    • Author(s)
      Hideki Sano
    • Organizer
      The 2014 International Conference on Mathematics and Computers in Sciences and Industry
    • Place of Presentation
      Varna (Bulgaria)
    • Year and Date
      2014-09-14
    • Related Report
      2014 Annual Research Report
  • [Presentation] 拡散項を有する並流型熱交換方程式の出力トラッキング制御2012

    • Author(s)
      松元宏太, 佐野英樹
    • Organizer
      第61回理論応用力学講演会
    • Place of Presentation
      東京大学生産技術研究所
    • Related Report
      2011 Research-status Report
  • [Presentation] ある不安定な混合定数系の安定化について2011

    • Author(s)
      佐野英樹
    • Organizer
      第40回制御理論シンポジウム
    • Place of Presentation
      ホテルコスモスクエア国際交流センター(大阪)
    • Related Report
      2011 Research-status Report
  • [Presentation] 並流型熱交換プロセスの初期値推定について2011

    • Author(s)
      佐野英樹, 松元宏太
    • Organizer
      第54回自動制御連合講演会
    • Place of Presentation
      豊橋技術科学大学
    • Related Report
      2011 Research-status Report
  • [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2011

    • Author(s)
      佐野英樹
    • Organizer
      第37回発展方程式研究会
    • Place of Presentation
      岐阜大学教育学部
    • Related Report
      2011 Research-status Report
  • [Presentation] Feedback stabilization of an unstable ODE plant with a diffusion process in the actuation path: an RMF approach2011

    • Author(s)
      Hideki Sano
    • Organizer
      EUROSIAM'11
    • Place of Presentation
      Montreux, Switzerland
    • Related Report
      2011 Research-status Report
  • [Presentation] Stabilization of linear parabolic systems with internal feedback loop

    • Author(s)
      佐野英樹
    • Organizer
      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)
    • Place of Presentation
      岡山理科大学
    • Related Report
      2013 Research-status Report
  • [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

    • Author(s)
      佐野英樹
    • Organizer
      日本応用数理学会 環瀬戸内応用数理研究部会 第17回シンポジウム
    • Place of Presentation
      愛媛大学
    • Related Report
      2013 Research-status Report
  • [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

    • Author(s)
      佐野英樹
    • Organizer
      第1回計測自動制御学会 制御部門マルチシンポジウム
    • Place of Presentation
      電気通信大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Dirichlet boundary control of an unstable ODE plant with a diffusion process in the actuation path

    • Author(s)
      Hideki Sano
    • Organizer
      MTNS'12, 20th International Symposium on Mathematical Theory of Networks and Systems
    • Place of Presentation
      The University of Melbourne, Law School Building (Australia)
    • Related Report
      2012 Research-status Report
  • [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

    • Author(s)
      佐野英樹
    • Organizer
      第38回発展方程式研究会
    • Place of Presentation
      日本女子大学目白キャンパス (東京都)
    • Related Report
      2012 Research-status Report

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Published: 2011-08-05   Modified: 2019-07-29  

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