Exponential Stability for a Class of Switched Nonlinear Systems with Mixed Time-Varying Delays via an Average Dwell-Time Method

Abstract EN

The problem of exponential stability for a class of switched nonlinear systems with discrete and distributed time-varying delays is studied.

The constraint on the derivative of the time-varying delay is not required which allows the time delay to be a fast time-varying function.

We study the stability properties of switched nonlinear systems consisting of both stable and unstable subsystems.

Average dwell-time approached and improved piecewise Lyapunov functional combined with Leibniz-Newton are formulated.

New delay-dependent sufficient conditions for the exponential stabilization of the switched systems are first established in terms of LMIs.

A numerical example is also given to illustrate the effectiveness of the proposed method.