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Mason, Oliver and Shorten, Robert N. (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. |
| Academic Unit: | Faculty of Science and Engineering > Computer Science Faculty of Science and Engineering > Research Institutes > Hamilton Institute Faculty of Science and Engineering > Mathematics and Statistics |
| 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 |
| Related URLs: | |
| URI: | https://mu.eprints-hosting.org/id/eprint/1711 |
| 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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