Robust stability for a class of uncertain discrete singular systems with time-delay

In this paper, we investigate the robust stability problem for a class of uncertain discrete singular time-delay systems. The considered systems are subject to norm-bounded parameter uncertainties and constant time delay. In terms of linear matrix inequality (LMI), a delay-dependent sufficient sta-bilizable criterion is derived via Lyapunov functional approach, which guarantees the nominal systems 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 presented to illustrate the effectiveness of the proposed methods.