Cevat Gökçek, "Stability analysis of periodically switched linear systems using Floquet theory", Mathematical Problems in Engineering, vol. 2004, Article ID 521989, 10 pages, 2004. https://doi.org/10.1155/S1024123X04401069
Stability analysis of periodically switched linear systems using Floquet theory
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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