LMI Approach to Finite-Time Stability and Stabilization of Singular Linear Discrete Delay Systems

Abstract

This paper deals with finite-time stability and stabilization problem of singular linear discrete-time systems with time-varying delay and norm-bounded disturbance. We first present novel delay-dependent sufficient conditions for the robust finite-time stability of the system. Then the results are applied to solve finite-time stabilization problem of linear singular discrete-time control delay systems. The conditions are presented in terms of linear matrix inequalities, which can be determined by utilizing MATLABs LMI Control Toolbox. The effectiveness of the results are illustrated by numerical examples.