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
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;
Conference_Titel :
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-9440-8
DOI :
10.1109/ICIST.2011.5765098
