Title :
An improved Razumikhin-type theorem and its applications
Author :
Xu, Bugong ; Liu, Yongqing
Author_Institution :
Dept. of Autom., South China Univ. of Technol., Guangzhou, China
fDate :
4/1/1994 12:00:00 AM
Abstract :
An improved Razumikhin-type theorem is established, and the advantage of the established theorem for reducing conservatism is discussed. For a class of time-delay systems, a simple asymptotic stability condition is deduced as an application of the established theorem. Two illustrative examples are given to show the superiority of the results to those in the literature
Keywords :
Lyapunov methods; delays; stability criteria; Lyapunov functions; Razumikhin-type theorem; asymptotic stability; functional differential equation; linear vector space; time delay systems; Asymptotic stability; Automation; Delay effects; Delay systems; Linear systems; Lyapunov method; Nonlinear systems; Stability analysis; Time varying systems; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
