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

• 成果类型: Article
• 署名作者: Hu, Zhe; Chen, Zhiyong; Zhang, Hai-Tao
• 署名单位: Huazhong University of Science & Technology; Huazhong University of Science & Technology; University of Newcastle
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.3030854
• 发表日期: 2021
• 页码: 4546-4559
• 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

摘要

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.