Feedback stabilization of discrete-time nonlinear systems via the Control Lyapunov functions

Abderrahman Iggidr (1) , Mohamed Oumoun (2) , Jean-Claude Vivalda (1)

1 CONGE - Geometric control for non-linear systems
2 UPVM - Université Paul Verlaine - Metz

In this paper we state sufficient conditions for the existence of feedback laws which render the equilibrium solution of a class of discrete-time nonlinear systems globally asymptotically stable.

Mots clés: discrete-time systems; stabilization; sufficient conditions; Lyapunov functions; robust control; nonlinear systems; feedback; asymptotic stability; Control Lyapunov Functions; Nonlinear discrete-time systems; Feedback stabilization

Domaines: Systèmes dynamiques [math.DS]; Automatique / Robotique

Abderrahman Iggidr, Mohamed Oumoun, Jean-Claude Vivalda. Feedback stabilization of discrete-time nonlinear systems via the Control Lyapunov functions. 38th IEEE Conference on Decision and Control, Dec 1999, Phoenix, Arizona, United States. pp.2051--2052. ⟨hal-01862872⟩