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SIAM Journal on Control and Optimization

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Fast Switching Analysis of Linear Switched Systems Using Exponential Splitting

SIAM J. Control Optim. Volume 47, Issue 5, pp. 2582-2597 (2008)

Published September 19, 2008
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Stability of periodic switched linear systems with fast switching patterns is studied by combining the method of averaging with exponential splitting. This approach yields less conservative bounds on stabilizing fast switching rates than can be obtained with prior approaches. Such bounds can be useful for analysis and design of switching control laws. The method is also generalized to arbitrary (including nonperiodic nonswitched) time-varying systems. In particular, the effects of time-varying state perturbations on the stability of linear periodic switched systems are analyzed.

©2008 Society for Industrial and Applied Mathematics
History: Received July 21, 2006; accepted May 22, 2008; published September 19, 2008
Permalink: http://dx.doi.org/10.1137/060665750

KEYWORDS and AMS

Keywords
AMS Subject Classifications
34C29, 93C05, 93D20

PUBLICATION DATA

ISSN:
0363-0129 (print)   1095-7138 (online)
Publisher:
AIP is a member of CrossRef SIAM

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