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Stability analysis of periodically switched linear systems using Floquet theory

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  • Cevat Gökçek

Abstract

Stability of a switched system that consists of a set of linear time invariant subsystems and a periodic switching rule is investigated. Based on the Floquet theory, necessary and sufficient conditions are given for exponential stability. It is shown that there exists a slow switching rule that achieves exponential stability if at least one of these subsystems is asymptotically stable. It is also shown that there exists a fast switching rule that achieves exponential stability if the average of these subsystems is asymptotically stable. The results are illustrated by examples.

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  • Cevat Gökçek, 2004. "Stability analysis of periodically switched linear systems using Floquet theory," Mathematical Problems in Engineering, Hindawi, vol. 2004, pages 1-10, January.
    • Handle: RePEc:hin:jnlmpe:521989
    DOI: 10.1155/S1024123X04401069
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