Lyapunov stability analysis for nonlinear delay systems
Résumé
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 term of Lyapunov function. The result is applied to some biological systems and neural networks. It is also used to construct a stablizing memoryless controller for a second order system with state-delay.