Analysis of robust stability for uncertain time-varying delay discrete singular systems

The problem of delay-dependent robust stability is discussed for uncertain discrete singular systems with interval time-varying delay. By introducing a Lyapunov function, a delay-dependent linear matrix inequality (LMI) condition is established for the nominal systems to be regular, causal, and stable. The condition is also extended to the uncertain case. Finally, the numerical example is given to show the effectiveness of the proposed theorems.