Stability analysis of dynamic quantized systems with time-varying delay

This paper studies the stability of a discrete-time dynamic quantized system with time-varying delay in the state feedback loop. A newly proposed dynamic quantizer, which is able to minimize the quantized error, is improved by bringing several dynamic elements into its static part. By the so-called lifting method, the dynamic quantized discrete-time system with time-varying delay is transformed into a switching system. Asymptotic stability of the system is considered using common Lyapunov function approach, and a sufficient condition for stability is developed in terms of matrix inequalities. A numerical simulation is finally given to show the effectiveness of the proposed method.