Finite-time stability of nonlinear singular switched discrete-time systems with time-varying delay

Abstract

In this paper, we study finite-time stability of nonlinear switched discrete-time systems with time-varying delay. By constructing a new set of Lyapunov-Krasovskii functionals, delay-dependent LMI conditions ensure the regularity, causal and finite-time stability of the system. A constructive geometric design of switching laws for finite-time stability of the system is presented. Numerical examples are given to illustrate the effectiveness of the proposed method.