Title :
Lyapunov stability analysis for nonlinear delay systems
Author :
Mazenc, Frédéric ; Nuculescu, S.-I.
Author_Institution :
Inst. Nat. de Recherche en Inf. et Autom., Valbonne, France
Abstract :
Sufficient conditions ensuring that a nonlinear system with disturbances having a delay is delay independent globally asymptotically stable, are given. The proof carried out relies extensively on a characterization of the stability property in terms of the Lyapunov function. The result is applied to some biological systems and neural networks. It is also used to construct a stabilizing memoryless controller for a second order system with state-delay
Keywords :
Lyapunov methods; asymptotic stability; control system analysis; delay systems; memoryless systems; nonlinear systems; Lyapunov function; asymptotic stability; biological systems; delay systems; memoryless controller; neural networks; nonlinear systems; second order system; sufficient conditions; Backstepping; Biological systems; Control systems; Delay systems; Differential equations; Lyapunov method; Nonlinear systems; Robustness; Stability analysis; Sufficient conditions;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.914104
