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

Title: Necessary and Sufficient Conditions for Asymptotic Decoupling of Stable Modes in LTV Systems
Creator: Hu, Zhe; Chen, Zhiyong; Zhang, Hai-Tao
Relation: ARC.DP150103745 http://purl.org/au-research/grants/arc/DP150103745
Relation: IEEE Transactions on Automatic Control Vol. 66, Issue 10, p. 4546-4559
Publisher Link: http://dx.doi.org/10.1109/TAC.2020.3030854
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: journal article
Date: 2021
Description: 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.
Subject: asymptotic decoupling; autonomous synchronization; exponential dichotomy; linear systems; multiagent systems (MAS); stable mode
Identifier: http://hdl.handle.net/1959.13/1450690
Identifier: uon:44007
Identifier: ISSN:0018-9286
Language: eng
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