Title :
Robust stability of time varying systems with unknown bounded delays
Author :
Verriest, Erik I.
Author_Institution :
Georgia Tech Lorraine, Metz, France
Abstract :
For linear time-varying delay-differential systems sufficient conditions are given for the stability and asymptotic stability independent of the length of the delay(s). Coefficients as well as delay times are assumed to be time-varing. All these sufficient conditions are obtained in the form of the existence of some positive definite matrix functions satisfying certain Riccati-type differential equations. Connections are made with the theory of robust control
Keywords :
Riccati equations; asymptotic stability; delay systems; matrix algebra; nonlinear differential equations; robust control; stability criteria; time-varying systems; Riccati-type differential equations; asymptotic stability conditions; linear time-varying delay-differential systems; positive definite matrix functions; robust stability; unknown bounded delays; Asymptotic stability; Delay effects; Delay systems; Differential equations; Process control; Riccati equations; Robust control; Robust stability; Sufficient conditions; Time varying systems;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.410892
