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

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Shorten, Robert N., Corless, M., Middleton, R., 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. (Unpublished)

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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.

Item Type:	Conference or Workshop Item (Paper)
Keywords:	Stable linear time-invariant systems; Stability of nonlinear systems; Stability of linear systems; Quadratic Lyapunov function; ACC 2009; Hamilton Institute.
Academic Unit:	Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	1641
Depositing User:	Hamilton Editor
Date Deposited:	04 Nov 2009 15:42
Refereed:	Yes
Related URLs:	Organisation
URI:	https://mural.maynoothuniversity.ie/id/eprint/1641
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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

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