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Robust stability of perturbed switching systems by matrix measure

✍ Scribed by Z.G. Li; Y.C. Soh; C.Y. Wen

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 122 KB
Volume: 45
Category: Article
ISSN: 0167-6911
DOI: 10.1016/s0167-6911(01)00161-x

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✦ Synopsis

The robust stability of switching systems is a very di cult problem because of the di culty in separating the perturbations of the models and the reset maps. In this paper, we apply matrix measure to separate the perturbations of the models and the reset maps. Then the conditions for robust stability of perturbed switching systems with structured perturbations can be readily derived. Su cient conditions for robust stability of switching systems are proposed, and bounds for structured perturbations based on nonnegative matrices that still ensure stability are derived.

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