2020 Fiscal Year Final Research Report
Development of Parametric Controller to Enhance Resilience of Dynamical Systems
| Project/Area Number |
16K00332
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Soft computing
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| Research Institution | Kagawa University |
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Principal Investigator |
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| Project Period (FY) |
2016-04-01 – 2021-03-31
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| Keywords | 複雑系 / レジリエンス性 / パラメータ制御系 / リアプノフ指数 / スペクトル半径 / 分岐回避 |
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| Outline of Final Research Achievements |
The purpose of this study is to develop parametric control systems for handling the state stability of complex systems described by nonlinear differential or difference equations. In dynamical systems, steady-state stability depends on the value of system parameters. Changing the parameter value can lead to bifurcation that means the disappearance of the current state and the occurrence of another state. The principal investigator has developed parametric controllers to handle the steady-state stability defined with the Lyapunov exponents or the spectral radius of a linearization system. The parametric controllers are available to avoid bifurcations caused by unexpected changes in system-parameter values.
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| Free Research Field |
数理工学
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| Academic Significance and Societal Importance of the Research Achievements |
本研究では，常微分方程式や常差分方程式で記述される数理モデルにみられる安定な状態が，システムパラメータ変化によって急変することを回避するパラメータ制御系を開発した。開発した制御系は数理モデルとして記述できるさまざま複雑系に対して適用可能であり，生命系，電力網，情報通信ネットワークなどの幅広い分野におけるシステムについて，そのレジリエンス性を向上させるための基礎技術となりうる。
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