DocumentCode :
788938
Title :
Uniform asymptotic stability of linear non-autonomous systems
Author :
Christensen, G.S.
Volume :
28
Issue :
42433
fYear :
2003
Firstpage :
173
Lastpage :
176
Abstract :
In this paper a new method is developed for obtaining necessary and sufficient conditions which, when satisfied, guarantee that a linear non-autonomous system will be uniformly asymptotically stable. The method is essentially an extension of two earlier theorems on the asymptotic stability of linear autonomous systems; these theorems, developed by the same author, are here extended to non-autonomous systems. Basically, the method consists of ascertaining whether a certain matrix is positive definite. In general, it is shown that this knowledge is necessary and sufficient to determine whether a linear non-autonomous system is exponentially stable and hence uniformly asymptotically stable.
Keywords :
Asymptotic stability; Continuous time systems; Lyapunov method; State-space methods; Sufficient conditions; Vectors;
fLanguage :
English
Journal_Title :
Electrical and Computer Engineering, Canadian Journal of
Publisher :
ieee
ISSN :
0840-8688
Type :
jour
DOI :
10.1109/CJECE.2003.1425105
Filename :
1425105
Link To Document :
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