Stability analysis of discrete-time switched systems with bipartite PDT switching

The stability and stabilization problems of discrete-time switched systems are studied under the so-called bipartite persistent dwell-time switching, which is proposed by relaxing some of the limitations in existing persistent dwell-time switching. This paper provides new stability criteria for disc...

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Bibliographic Details
Main Authors: Qiang Yu, Xiujuan Jiang
Format: Article
Language:English
Published: AIMS Press 2024-11-01
Series:Electronic Research Archive
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Online Access:https://www.aimspress.com/article/doi/10.3934/era.2024294
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Summary:The stability and stabilization problems of discrete-time switched systems are studied under the so-called bipartite persistent dwell-time switching, which is proposed by relaxing some of the limitations in existing persistent dwell-time switching. This paper provides new stability criteria for discrete-time switched systems using a binary quasi-time-varying Lyapunov function. Next, the stabilizing controllers for discrete-time switched-controlled systems are designed. Finally, we give a practical example to show the effectiveness of the conclusions and less conservatism than those based on the persistent dwell-time switching.
ISSN:2688-1594