A Geometrical Treatment for Obtaining Necessary and Sufficient Conditions for Joint Quadratic Lyapunov Function Existence for State-Dependent, Switched Systems: A Two-Dimensional Case
Griggs, Wynita M. and King, Christopher K. and Shorten, Robert N. and 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. AbstractThe 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. | Additional Information: | Copyright © [2009] IEEE. Reprinted from 17th Mediterranean Conference on Control and Automation, 2009. MED '09. |
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| Keywords: | Lyapunov methods; computational geometry; matrix algebra; set theory; stability; state-space methods; time-varying systems; |
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| Subjects: | Science & Engineering > Hamilton Institute |
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| ID Code: | 2220 |
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| Deposited By: | Oliver Mason |
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| Deposited On: | 27 Oct 2010 17:02 |
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| Journal or Publication Title: | Control and Automation, 2009. MED '09. 17th Mediterranean Conference on . ISBN 978-1-4244-4684-1 |
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| Publisher: | IEEE |
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| Refereed: | Yes |
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| URL: | http://ieeexplore.ieee.org/Xplore/dynhome.jsp |
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