Robust Exponential Stability of Uncertain Discrete-Time Systems with Interval Time-Varying Delay

In this paper, the problem of robust exponential stability for uncertain discrete-time systems with interval time-varying delay is investigated. By choosing appropriate Lyapunov functional and using discrete Jensen inequality, an LMI-based delay-dependent condition is proposed to guarantee the robust exponential stability for such system with parametric perturbations. Without ignoring any negative terms in the difference of Lyapunov functionals and using any free-weighting matrices, the presented result is less conservative and less computational burdens than those in the existing paper. Finally, some numerical examples are illustrated to show the obtained result.