Stability analysis of nonlinear rational sampled-data control systems over communication networks

This paper addresses the stability analysis of nonlinear rational sampled-data control systems with zero-order-hold over communication networks. It is assumed that the sampling interval may be time-varying (to deal with aperiodic sampling) and the communication network is modeled by an induced varying time-delay. In this setup, considering a differential-algebraic representation framework of rational systems and an input time-delay approach, Lyapunov-Krasovskii based conditions to ensure the asymptotic stability in ellipsoidal regions are derived.