Min-switching stabilization for discrete-time switching systems win non-linear modes

International audience; This paper studies the stabilization of discrete-time switched systems, with nonlinear modes via switching law as the control input. The modal nonlinearities are assumed to satisfy their own cone bounded sector condition. The min-switching strategy is applied with Lur'e-like Lyapunov functions to design the stabilizing switching law. Sufficient conditions to stabilize the considered system are given by suitable Lyapunov-Metzler inequalities. An academic example is presented to illustrate the validity of our main result.