Robust Stability for Nonlinear Discrete-time Systems with Interval Time-varying Delay

This paper considers the robust stability of linear discrete-time systems with nonlinear perturbations and interval time-varying delay in the state. By using a finite sum inequality approach, new delay-range-dependent stability criteria are developed in terms of linear matrix inequalities (LMIs). It is shown that the proposed criteria can provide less conservative results than some existing ones. A numerical example is included to demonstrate the effectiveness of the proposed approach.