Delay-dependent robust stability of uncertain discrete singular time-delay systems

This paper deals with the problem of delay-dependent robust stability of a class of uncertain discrete singular time-delay systems. The considered systems are subject to norm-bounded parameter uncertainties and constant time delay. A new approach is introduced to take the relationship between the fast and slow subsystems of a discrete singular time-delay system, based on which, a strict linear matrix inequality (LMI) criterion is obtained for a discrete singular time-delay system to be regular, causal and stable. The result on robust stability of uncertain discrete singular time-delay systems is also obtained and expressed in terms of LMIs. Numerical examples are given to demonstrate the applicability of the proposed method.