DocumentCode
3109764
Title
Exponential stability of a class of linear time-varying singularly perturbed systems
Author
Chen, Wu-Hua ; Fu, Wei ; Du, Rui ; Lu, Xiaomei
Author_Institution
Coll. of Math. & Inf. Sci., Univ. of Guangxi, Nanning, China
fYear
2011
fDate
26-28 March 2011
Firstpage
778
Lastpage
783
Abstract
In this paper, the Gauss-Seidel iteration method is used to investigate the exponential stability of a class of linear time-varying singularly perturbed systems. A simple algebraic criterion for exponential stability for all small enough values of singular perturbation parameter ε is obtained. Moreover, an upper bound on the values of ε for which the system preserves exponential stability can be found by solving a set of ε-dependent inequalities.
Keywords
asymptotic stability; iterative methods; linear systems; time-varying systems; ε-dependent inequalities; Gauss-Seidel iteration method; algebraic criterion; exponential stability; linear time-varying singularly perturbed systems; Lyapunov methods; Nonlinear dynamical systems; Numerical stability; Stability criteria; Time varying systems; Upper bound;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location
Nanjing
Print_ISBN
978-1-4244-9440-8
Type
conf
DOI
10.1109/ICIST.2011.5765098
Filename
5765098
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