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Quadratic and copositive Lyapunov Functions and the stability of positive switched linear systems.

Mason, Oliver and Shorten, Robert (2007) Quadratic and copositive Lyapunov Functions and the stability of positive switched linear systems. In: Proceedings of the 2007 American Control Conference, Marriott Marquis Hotel at Times Square, New York City, USA, July 11-13, 2007. IEEE, pp. 657-662. ISBN 1-4244-0988-8

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Abstract

We present some new results concerning the stability of positive switched linear systems. In particular, we present a necessary and suf£cient condition for the existence of copositive linear Lyapunov functions for switched systems with two constituent linear time-invariant (LTI) systems. We also extend some recent results on quadratic stability for positive switched linear systems.

Item Type: Book Section
Additional Information: "©2007 IEEE. Reprinted from Proceedings of the 2007 American Control Conference Marriott Marquis Hotel at Times Square New York City, USA, July 11-13, 2007. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE." http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4282527&isnumber=4282135
Keywords: Lyapunov methods; Asymptotic stability; Linear systems; Time-varying systems; Constituent LTI systems; Linear time-invariant systems; Copositive Lyapunov functions; Linear time-invariant systems; Positive switched linear system stability; Quadratic Lyapunov functions; ACC '07; Hamilton Institute.
Subjects: Science & Engineering > Hamilton Institute
Science & Engineering > Computer Science
Science & Engineering > Mathematics
Item ID: 1711
Identification Number: 10.1109/ACC.2007.4282527
Depositing User: Hamilton Editor
Date Deposited: 02 Dec 2009 12:33
Publisher: IEEE
Refereed: Yes
URI:

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