Title :
On the stability of uncertain systems with multiple time-varying delays
Author :
Sun, Yeong-Jeu ; Hsieh, Jer-Guang ; Yang, Horng-Chin
Author_Institution :
Cheng-Shiu Junior Coll. of Technol. & Commerce, Kaohsiung, Taiwan
fDate :
1/1/1997 12:00:00 AM
Abstract :
In this paper, criteria for the global asymptotic stability of a class of uncertain systems with multiple time-varying delays are proposed. Based on the improved Razumikhin-type theorem, delay-dependent and delay-independent criteria are provided to guarantee the global asymptotic stability of such systems. Our main results are generalizations of some recent results reported in the literature in the case with multiple time-varying delays. A numerical example Is also given to illustrate our results
Keywords :
asymptotic stability; delay systems; matrix algebra; time-varying systems; uncertain systems; Hurwitz matrix; Razumikhin-type theorem; global asymptotic stability; multiple time-varying delays; uncertain systems; Asymptotic stability; Delay systems; Eigenvalues and eigenfunctions; Space technology; Stability criteria; Sun; Symmetric matrices; Time varying systems; Transmission line matrix methods; Uncertain systems;
Journal_Title :
Automatic Control, IEEE Transactions on