4.7 Article

Necessary and Sufficient Conditions for Asymptotic Decoupling of Stable Modes in LTV Systems

期刊

IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 66, 期 10, 页码 4546-4559

出版社

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2020.3030854

关键词

Synchronization; Eigenvalues and eigenfunctions; Stability analysis; Asymptotic stability; Trajectory; Time-varying systems; Multi-agent systems; Asymptotic decoupling; autonomous synchronization; exponential dichotomy; linear systems; multiagent systems (MAS); stable mode

资金

  1. Australian Research Council [DP150103745]
  2. National Natural Science Foundation of China [U1713203, 51729501, 61751303]

向作者/读者索取更多资源

This article discusses the asymptotic decoupling of stable modes in linear time varying systems, utilizing techniques for analyzing matrix exponential and state transition matrix. The research advances the knowledge base of linear control theory and provides a solution for the synchronization problem in heterogeneous multiagent systems. The methodology of the research is based on rigorous theoretical proofs and numerical verification.
For a linear time varying (LTV) system containing stable and unstable modes, this article gives the necessary and sufficient conditions for asymptotic decoupling of stable modes. Establishment of the conditions relies on newly developed techniques for analyzing matrix exponential and state transition matrix. The research exploits fundamental properties of LTV systems and advances the knowledge base of linear control theory. The results can find a direct application in the autonomous synchronization problem for heterogeneous multiagent systems. The research methodology is based on rigorous theoretical proofs and numerical verification.

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