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A quadratic stability result for singular switched systems with application to anti-windup control

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5 Author(s)
Shorten, R. ; Hamilton Inst., NUI Maynooth, Maynooth, Ireland ; Corless, M. ; Middleton, R. ; Klinge, S.
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In this note we consider the problem of determining necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for a pair of stable linear time-invariant systems whose system matrices are of the form A, A-ghT, and where one of the matrices is singular. We then apply this result in a study of a feedback system with a saturating actuator.

Published in:

American Control Conference, 2009. ACC '09.

Date of Conference:

10-12 June 2009