Title :
Delay-dependent stability of linear systems with delayed state: an LMI approach
Author :
Niculescu, Silviu-Iulian ; Trofino Nito, A. ; Dion, Jean-Michel ; Dugard, Luc
Author_Institution :
Lab. d´´Autom. de Grenoble, CNRS, St.-Martin-d´´Heres, France
Abstract :
This paper deals with the problem of asymptotic stability of a class of time-delay systems with constant, but unknown time-delay. Upper bounds on the time-delay that ensure the stability of the considered systems are given using a Razumikhin technique. Furthermore, the approach adopted here allows the computation of the delay bound by transforming the stability problem into an LMI optimization problem
Keywords :
asymptotic stability; delay systems; delays; linear systems; optimisation; LMI optimization problem; Razumikhin technique; asymptotic stability; delay bound; delay-dependent stability; delayed state; linear systems; time-delay systems; Convergence; Delay lines; Delay systems; Ear; Eigenvalues and eigenfunctions; Equations; Linear systems; Stability criteria; Symmetric matrices; Upper bound;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.480347
