Title :
N&S conditions of exponential stability for retarded dynamic systems and some applications
Author_Institution :
Dept. of Autom. Control Eng., South China Univ. of Technol., Guangzhou, China
Abstract :
The necessary and sufficient conditions of generalized exponential stability for general retarded dynamic systems are established. Based on the established necessary and sufficient conditions, the exponential decay estimates on the transient responses for the systems are presented. All of the results are derived by using Lyapunov function methods. Some stability and stabilization results with respect to time-varying/time-invariant decay degree for some classes of retarded dynamic systems are also presented as the applications of the established conditions. It is revealed that the established estimates can be less conservative than those obtained by only using the sufficient stability conditions in the literature
Keywords :
Lyapunov methods; asymptotic stability; delay systems; transient response; Lyapunov function methods; exponential decay estimates; exponential stability; necessary and sufficient conditions; retarded dynamic systems; time-invariant decay degree; time-varying decay degree; transient responses; Convergence; Differential equations; Erbium; Lyapunov method; Stability analysis; Sufficient conditions; Time domain analysis; Topology; Vectors;
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-4530-4
DOI :
10.1109/ACC.1998.707363
