New delay-dependent robust stability of discrete singular systems with time-varying delay

The robust stability of discrete singular systems with time-varying delay is considered. New delay-dependent stability criteria are proposed, which are dependent on the minimum and maximum delay bounds. A strict delay-dependent linear matrix inequality (LMI) condition is obtained for a discrete singular time-varying system to be regular, causal and stable. The result on robust stability of uncertain discrete singular time-varying systems is also obtained and expressed in terms of LMIs. Numerical examples are given to demonstrate the applicability of the proposed method.