Practical stability for switched affine systems via time‐dependent switching function

Abstract

AbstractIn this article, the stability analysis of both continuous‐time switched affine systems discrete‐time switched affine systems is addressed via dwell time switching. Since the information of system states is difficult to obtain in the state‐dependent switching function, the time‐dependent switching function is considered to stabilize the switched affine system. The purpose of this article is to design a time‐dependent switching function assuring the state trajectories are globally attracted to an attractive set containing the desired equilibrium point (which is selected from a set of attainable equilibrium points). By constructing discretized Lyapunov function, a set of conditions in the framework of dwell time are designed to guarantee practical stability of the state trajectories. At last, some numerical examples are given to illustrate our method and compare it with the existing results.