Title :
Robust stability of nonlinearly perturbed delay systems
Author :
Verriest, Erik I. ; Fan, Michael K H
Author_Institution :
Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
Sufficient conditions for the robust stability (independent of the delay) of linear differential delay systems have been obtained based on the Lyapunov-Krasovskii theory. We show in this paper the feasibility of these techniques to derive robust stability conditions for differential delay systems with nonlinear perturbations. For sector bounded nonlinearities, results obtained by Verriest and Agounne (1996) for robust stability based on the Lur´e-Postnikov theory are further refined
Keywords :
Lyapunov methods; delay systems; delay-differential systems; nonlinear control systems; robust control; stability criteria; Lur´e-Postnikov theory; Lyapunov-Krasovskii theory; delay-independent robust stability conditions; linear differential delay systems; nonlinear perturbations; nonlinearly perturbed delay systems; sector bounded nonlinearities; Delay lines; Delay systems; Ear; Nonlinear equations; Riccati equations; Robust control; Robust stability; Robustness; Sufficient conditions; Symmetric matrices;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.572901
