H∞ finite-time stability for discrete-time singular linear time-varying systems

Abstract

This paper deals with $H_{\\infty}$ finite-time stability for a class of discrete-time singular linear time-varying systems. Sufficient conditions have been established such that the system is regular, causal and $H_{\\infty}$ finite-time stable, which are expressed in linear matrix inequalities and can be determined by using LMI Control Toolbox in Matlab. Finally, a numerical example is given to illustrate the effectiveness of the result.