Title :
Passivity Analysis of Uncertain Singularly Perturbed Systems
Author :
Gao, Yanbo ; Lu, Guoping ; Wang, Zhiming
Author_Institution :
Dept. of Math., East China Normal Univ., Shanghai, China
fDate :
6/1/2010 12:00:00 AM
Abstract :
This brief addresses the asymptotic stability and passivity of uncertain singularly perturbed systems. Based on the Lyapunov stability theory and a singular-system approach, some sufficient conditions in terms of linear matrix inequalities are derived. Three numerical examples are presented to demonstrate the effectiveness of the proposed theoretical results.
Keywords :
Lyapunov methods; asymptotic stability; linear matrix inequalities; singularly perturbed systems; uncertain systems; Lyapunov stability theory; asymptotic stability; linear matrix inequalities; passivity analysis; singular system approach; uncertain singularly perturbed systems; Asymptotic stability; linear matrix inequalities (LMIs); passivity; singularly perturbed systems;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2010.2048378