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Griggs, Wynita M., King, Christopher K., Shorten, Robert N., Mason, Oliver and Wulff, Kai (2009) A Geometrical Treatment for Obtaining Necessary and Sufficient Conditions for Joint Quadratic Lyapunov Function Existence for State-Dependent, Switched Systems: A Two-Dimensional Case. Control and Automation, 2009. MED '09. 17th Mediterranean Conference on . ISBN 978-1-4244-4684-1 . pp. 1337-1342.
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Abstract
The question of existence of joint quadratic Lyapunov
functions (QLFs) for state-dependent, switched dynamical
systems is given a preliminary geometrical treatment in
this paper. The joint QLF problem for a switched system and
a collection of regions defined by state vectors that determine
when switching occurs consists of finding nonempty intersections
of convex sets of QLFs. The existence of a joint QLF
guarantees switched system stability. Necessary and sufficient
conditions for the existence of a joint QLF are obtained for a
two-dimensional problem.
| Item Type: | Article |
|---|---|
| Additional Information: | Copyright © [2009] IEEE. Reprinted from 17th Mediterranean Conference on Control and Automation, 2009. MED '09. |
| Keywords: | Lyapunov methods; computational geometry; matrix algebra; set theory; stability; state-space methods; time-varying systems; |
| Academic Unit: | Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
| Item ID: | 2220 |
| Identification Number: | DOI: 10.1109/MED.2009.5164732 |
| Depositing User: | Oliver Mason |
| Date Deposited: | 27 Oct 2010 16:02 |
| Journal or Publication Title: | Control and Automation, 2009. MED '09. 17th Mediterranean Conference on . ISBN 978-1-4244-4684-1 |
| Publisher: | IEEE |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mu.eprints-hosting.org/id/eprint/2220 |
| 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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