Title :
Asymptotic stability of completely retarded time-varying linear systems
Author :
Deng Deiqi ; Lin Yongqing ; Zhaoshu, Feng
Author_Institution :
Dept. of Autom. Control Eng., South China Univ. of Technol., Guangzhou, China
Abstract :
Asymptotic stability of completely retarded time-invariant linear systems is investigated with the Lyapunov functional method. Some delay inequalities are first established as lemmas then a new type of stability theorem is established for general retarded functional differential equations and a sufficient criterion for the asymptotic stability of completely retarded time-varying linear systems is obtained. Some corollaries on the asymptotic stability of zero solutions of completely retarded time-invariant linear systems are then given in algebraic form
Keywords :
Lyapunov methods; asymptotic stability; delay systems; differential equations; functional equations; linear systems; stability criteria; time-varying systems; Lyapunov functional method; asymptotic stability; completely retarded time-invariant linear systems; completely retarded time-varying linear systems; delay inequalities; general retarded functional differential equations; zero solutions; Asymptotic stability; Delay; Large-scale systems; Linear systems; Stability criteria; Time varying systems;
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-4530-4
DOI :
10.1109/ACC.1998.688458
