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

Shorten, R. and Corless, M. and Middleton, R. and Klinge, S. and Wulff, K. (2009) A quadratic stability result for singular switched systems with application to anti-windup control. In: 2009 American Control Conference, June 10-12, 2009, St. Louis, Missouri, USA.

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Abstract

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.

Keywords:Stable linear time-invariant systems; Stability of nonlinear systems; Stability of linear systems; Quadratic Lyapunov function; ACC 2009; Hamilton Institute.
Subjects:Science & Engineering > Hamilton Institute
ID Code:1641
Deposited By:Hamilton Editor
Deposited On:04 Nov 2009 15:42
Refereed:Yes
URL:http://www.a2c2.org/conferences/acc2009/

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