Stability bound analysis of slow sampling discrete-time singularly perturbed systems with time-delay

This paper treats the stability bound problem of discrete linear singularly perturbed system (SPSs) with time delay is treated. Using an appropriate Lyapunov-Krasovskii functional, satisfactory conditions formulated in terme of Linear Matrix Inequalities (LMIs) are proposed to analyse the asymptotic stability of SPSs. Delay independent and delay dependent stability criterion are treated. Illustrative examples are provided to demonstrate the efficiency of the proposed method.