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Signed formulation of dynamical systems synthesis incorporating asymmetry beyond preservation

Research Project

Project/Area Number 20K04536
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 21040:Control and system engineering-related
Research InstitutionKyushu Institute of Technology

Principal Investigator

Ito Hiroshi  九州工業大学, 大学院情報工学研究院, 教授 (70274561)

Project Period (FY) 2020-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2022: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2021: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2020: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords非線形システム / 結合ダイナミクス / 非対称性 / 安定論 / ロバスト性 / 感染症制御 / 制御工学 / 感染症ダイナミクス
Outline of Research at the Start

電気電子・機械・生物・プラント等のあらゆるダイナミクスの安全な効果的運用には、構成モジュールのゲインが持つ閾値までの余裕が鍵となってきた。異なる現象やスケールの物事が結合される場合には、ゲインによる画一的判断は大きく保守的、あるいは、不可能となるため、最近、ゲインが値から関数へ拡張され、局所なゲイン関数から大域的解析・設計を可能にする非線形小ゲイン定理が開発された。しかし、IoT社会で取り組む多様で大規なシステム結合には、判定結果が否定的となることが多い。本研究は,非線形小ゲイン理論から対称性を排除し、保存変換という基盤手順も取り除き、符号込みでダイナミクスを合成する運用・設計の数理を築く。

Outline of Final Research Achievements

Safe and effective design and operation of dynamics arising in electric and electromechanical systems have relied on margins by which gains of individual modules are allowed to increase before reaching the threshold, and their effectiveness has also been anticipated for social and environmental dynamics of humans and organisms. It was recently known among experts that qualitative and scale diversity limits the effectiveness of the gain margins, and the gains are extended to functions. This project addressed the issue that those gain functions are still insufficient for solving problems of diversely coupled dynamics. It proposed a novel methodology pursuing the utilization of asymmetry in the gain functions. The project avoided using preserving transformation that relies on symmetry and incorporated sign information into the synthesis of dynamics. The project also demonstrated its successful application to infectious disease control using vaccination, isolation, and outing regulation.

Academic Significance and Societal Importance of the Research Achievements

未解決のダイナミクスの数理基盤を開発したことから、適用対象となる科学技術範囲は予想できないほど広い。本研究の計画段階から生物システムからの着想や応用も意識していたが、助成金開始と同時に深刻化したコロナ感染症の未解決数理に、直球で立ち向かう道を提供したように、今後も産業から環境、社会まで幅広いダイナミクスの運用と設計の発展に鍵を与え続けることは間違いない。また、本研究者の本課題成果という限定宣伝ではなく、システム制御理論が科学技術に貢献する力と、その大切さを、世界一の論文誌や国際会議での発表を通して提示できたことも大切であった。一部はシンポジウム論文賞などで分野に残ったことの社会的意義も大きい。

Report

(5 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Research-status Report
  • 2021 Research-status Report
  • 2020 Research-status Report
  • Research Products

    (32 results)

All 2023 2022 2021 2020 Other

All Int'l Joint Research (6 results) Journal Article (6 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 6 results) Presentation (18 results) (of which Int'l Joint Research: 13 results,  Invited: 1 results) Remarks (2 results)

  • [Int'l Joint Research] Louisiana State University(米国)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] Inria EPI DISCO(フランス)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] Louisiana State University(米国)

    • Related Report
      2022 Research-status Report
  • [Int'l Joint Research] Inria EPI DISCO(フランス)

    • Related Report
      2022 Research-status Report
  • [Int'l Joint Research] Louisiana State University(米国)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] Inria EPI DISCO(フランス)

    • Related Report
      2021 Research-status Report
  • [Journal Article] Feedback control of isolation and contact for SIQR epidemic model via strict Lyapunov function2022

    • Author(s)
      Hiroshi Ito, Michael Malisoff, Frederic Mazenc
    • Journal Title

      Mathematical Control and Related Fields

      Volume: - Issue: 4 Pages: 1438-1465

    • DOI

      10.3934/mcrf.2022043

    • Related Report
      2023 Annual Research Report 2022 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Strict Lyapunov functions and feedback controls for SIR models with quarantine and vaccination2022

    • Author(s)
      Hiroshi Ito, Michael Malisoff, Frederic Mazenc
    • Journal Title

      Discrete and Continuous Dynamical Systems - Series B

      Volume: 27-12 Issue: 12 Pages: 6969-6988

    • DOI

      10.3934/dcdsb.2022029

    • Related Report
      2022 Research-status Report 2021 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Isolation-oriented Lyapunov-based design of simultaneous feedback strategies for disease control of SIQR2022

    • Author(s)
      Hiroshi Ito
    • Journal Title

      International Journal of Robust and Nonlinear Control

      Volume: 32-16 Issue: 16 Pages: 8767-8785

    • DOI

      10.1002/rnc.6309

    • Related Report
      2022 Research-status Report
    • Peer Reviewed
  • [Journal Article] Strict smooth Lyapunov functions and vaccination control of SIR model certified by ISS2022

    • Author(s)
      Hiroshi Ito
    • Journal Title

      IEEE Trans. Automatic Control

      Volume: - Issue: 9 Pages: 4514-4528

    • DOI

      10.1109/tac.2022.3161395

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] Input-to-state stability and Lyapunov functions with explicit domains for SIR model of infectious diseases2021

    • Author(s)
      Hiroshi Ito
    • Journal Title

      Discrete and Continuous Dynamical Systems - B

      Volume: 26 Issue: 9 Pages: 5171-5196

    • DOI

      10.3934/dcdsb.2020338

    • Related Report
      2021 Research-status Report 2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] Interpreting models of infectious diseases in terms of integral input-to-state stability2020

    • Author(s)
      Ito Hiroshi
    • Journal Title

      Mathematics of Control, Signals, and Systems

      Volume: 32 Issue: 4 Pages: 611-631

    • DOI

      10.1007/s00498-020-00272-w

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Presentation] Asymmetric dissipativity and supply rates for compartmental systems with logarithmic storage functions2023

    • Author(s)
      Hiroshi Ito
    • Organizer
      2023 American Control Conference
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Asymmetric and fitted dissipativity with logarithmic storages for positive systems exhibiting interior equilibria2023

    • Author(s)
      Hiroshi Ito
    • Organizer
      IFAC World Congress
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Nonlinear PI control for semi-global asymptotic stabilization and robustness of SIQR model with inflow perturbations2023

    • Author(s)
      Hiroshi Ito
    • Organizer
      The 12th IFAC Symposium on Nonlinear Control Systems
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] 非対称な状態空間上のダイナミクスのモジュール型解析設計を目指した供給率について2023

    • Author(s)
      伊藤 博
    • Organizer
      第10回計測自動制御学会制御部門マルチシンポジウム
    • Related Report
      2022 Research-status Report
  • [Presentation] A global and semi-global controller for SIQR epidemic model by a control Lyapunov function via logarithmic sum2022

    • Author(s)
      Hiroshi Ito
    • Organizer
      The 61st IEEE Conf. Decision Control
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] Semi-global input-to-state stabilization of SIQR model with isolation, outing regulation, and vaccination in staircase form2022

    • Author(s)
      Hiroshi Ito
    • Organizer
      The 25th International Symposium on Mathematical Theory of Networks and Systems
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] Dynamic feedback control of SIQR model guaranteeing semi-global asymptotic stability and robustness for inflow perturbations2022

    • Author(s)
      Hiroshi Ito
    • Organizer
      SICE Annual Conference2022
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] An ISS Lyapunov function estimating admissible inflow perturbations for semi-global control of SIQR model2022

    • Author(s)
      Hiroshi Ito
    • Organizer
      SICE Annual Conference 2022
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] 対数型リアプノフ関数を使った非対称な状態空間上のダイナミクスのモジュール化について2022

    • Author(s)
      伊藤 博
    • Organizer
      第65回自動制御連合講演会
    • Related Report
      2022 Research-status Report
  • [Presentation] Vaccination with input-to-state stability for SIR model of epidemics2021

    • Author(s)
      Hiroshi Ito
    • Organizer
      The 60th IEEE Conf. Decision Control
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] A construction of strict Lyapunov functions for a bilinear balancing model2021

    • Author(s)
      Hiroshi Ito
    • Organizer
      The 3rd IFAC Conf. Modelling, Identification and Control of Nonlinear Systems
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] Feedback balancing between vaccination and quarantine for disease control: a simulation for COVID-19 in Japan2021

    • Author(s)
      Hajime Nakata, Hiroshi Ito
    • Organizer
      SICE Annual Conference 2021
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] A strict smooth Lyapunov function and input-to-state stability of SIR model2021

    • Author(s)
      Hiroshi Ito
    • Organizer
      2021 American Control Conference
    • Related Report
      2021 Research-status Report 2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] 感染者隔離と分離型ISSリアプノフ関数によるSIQRモデルの準大域協調制御の実現2021

    • Author(s)
      伊藤 博
    • Organizer
      第9回計測自動制御学会制御部門マルチシンポジウム
    • Related Report
      2021 Research-status Report
  • [Presentation] ISSリアプノフ関数により保証付けされたSIR感染モデルのワクチン接種フィードバック2021

    • Author(s)
      伊藤 博
    • Organizer
      第8回計測自動制御学会制御部門マルチシンポジウム
    • Related Report
      2020 Research-status Report
  • [Presentation] SIR感染モデルに基づく流入個体数規制の不確かさに対するISS保証の一解析2020

    • Author(s)
      伊藤 博
    • Organizer
      第63回自動制御連合講演会
    • Related Report
      2020 Research-status Report
  • [Presentation] Strong integral input-to-state stability of nonlinear networks through balancing kinetics2020

    • Author(s)
      Hiroshi Ito
    • Organizer
      The 59th IEEE Conf. Decision Control
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Signed small-gain criteria amenable to asymmetry with respect to equilibria in establishing iISS of networks2020

    • Author(s)
      Hiroshi Ito
    • Organizer
      The 59th IEEE Conf. Decision Control
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Remarks] JSPS科研費20K04536に関わる成果報告論文および発表

    • URL

      http://palm.ces.kyutech.ac.jp/~hiroshi/fsprojects/kakenmono20.html

    • Related Report
      2023 Annual Research Report
  • [Remarks] JSPS科研費20K04536に関わる成果報告論文

    • URL

      http://palm.ces.kyutech.ac.jp/~hiroshi/fsprojects/kakenmono20.html

    • Related Report
      2022 Research-status Report 2021 Research-status Report 2020 Research-status Report

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Published: 2020-04-28   Modified: 2025-01-30  

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