DocumentCode :
2623308
Title :
Parameter-dependent Lyapunov function for exact stability analysis of single-parameter dependent LTI systems
Author :
Zhang, Xiping ; Tsiotras, Panagiotis ; Iwasaki, Tetsuya
Author_Institution :
Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Volume :
5
fYear :
2003
fDate :
9-12 Dec. 2003
Firstpage :
5168
Abstract :
In this paper, we propose a class of parameter-dependent Lyapunov functions which can be used to assess the stability properties of linear, time-invariant, single-parameter dependent (LTIPD) systems in a non-conservative manner. It is shown that stability of LTIPD systems is equivalent to the existence of a Lyapunov function of a polynomial type (in terms of the parameter) of known, bounded degree satisfying two matrix inequalities. It is also shown that checking the feasibility of these matrix inequalities over a compact set can be cast as a convex optimization problem.
Keywords :
Lyapunov methods; linear matrix inequalities; linear systems; optimisation; stability; convex optimization problem; linear systems; matrix inequalities; parameter dependent Lyapunov function; single parameter dependent LTI systems; stability analysis; time invariant systems; Aerospace engineering; Asymptotic stability; Computational complexity; Linear matrix inequalities; Lyapunov method; Polynomials; Robust stability; Stability analysis; System testing;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
ISSN :
0191-2216
Print_ISBN :
0-7803-7924-1
Type :
conf
DOI :
10.1109/CDC.2003.1272457
Filename :
1272457
Link To Document :
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