On the asymptotic stability of a class of nonlinear difference switched systems

摘要

In this paper, the problem of stability of solutions of a class of nonlinear switched difference systems is studied. It is assumed that the nonlinearities satisfy certain sector type constraints. Systems of this kind appear in the modeling of many real processes. In this paper, sufficient conditions for the asymptotic stability of the solutions of the above class of systems are derived. To obtain these conditions, the Lyapunov direct method is used. Herewith, asymptotic stability is global and is ensured by imposing certain restrictions on the switching law.