A new robust stability analysis approach for discrete-time system with time-varying delay

In this paper, a robust stability analysis approach is proposed for a discrete-time system with time-varying delay. The uncertainty is assumed to be norm-bounded. The developed criterion is terms of Linear Matrix Inequality (LMI) based on Lyapunov-Krasovskii approach. To obtain such criterion matrix variable approach is used. To demonstrate the proposed criterion some examples are considered.