Delay-dependent robust stability and control of uncertain discrete singular systems with state-delay

A new delay-dependent criterion is developed for robust stability of linear discrete-time singular systems with state-delay and parametric uncertainties. The time-delay is varying between known bounds and the uncertainties are assumed to be time-invariant and norm-bounded appearing in the state and delay matrices. The new criterion is achieved by an expanded state-space system representation. A solution to delay-dependent stabilization is attained based on guaranteed cost and H_∞ control approaches. All the developed results are conveniently cast in the format of linear matrix inequalities (LMIs) and numerical examples are presented.