DocumentCode :
581747
Title :
An iteration method for exponential stability of linear time-varying singularly perturbed systems
Author :
Xiaomei, Lu ; Wu-hua, Chen
Author_Institution :
Coll. of Math. & Inf. Sci., Guangxi Univ., Nanning, China
fYear :
2012
fDate :
25-27 July 2012
Firstpage :
1351
Lastpage :
1356
Abstract :
An iteration method is proposed to investigate the exponential stability of linear time-varying singularly perturbed systems. By applying the variation-of-constants formula, an iterative process is introduced to approximate the solution of system under consideration. Then using the internal relations between iterative convergence and stability, a sufficient condition that ensures exponential stability for sufficiently small singular perturbation parameter is derived. Moreover, the stability bound of singular perturbation parameter can be obtained by calculating the spectral radius of certain parameter matrix. Finally, a numerical example is given to illustrate the effectiveness of the proposed results.
Keywords :
approximation theory; asymptotic stability; iterative methods; time-varying systems; exponential stability; iteration method; iterative convergence; iterative process; iterative stability; linear time-varying singularly perturbed systems; parameter matrix; spectral radius; variation-of-constants formula; Control theory; Educational institutions; Numerical stability; Stability criteria; Time varying systems; Exponential stability; Singularly perturbed systems; Time-varying systems;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control Conference (CCC), 2012 31st Chinese
Conference_Location :
Hefei
ISSN :
1934-1768
Print_ISBN :
978-1-4673-2581-3
Type :
conf
Filename :
6390135
Link To Document :
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