Exponential stability of singular NCS with multiple-packet transmission

This paper addresses the problem of exponential stability for singular networked control system (NCS) with multiple-packet transmission and dynamical output feedback. The singular NCS with time-delay and data packet dropout is modeled as an asynchronous dynamical system (ADS) constrained by event rates. Based on the theory of ADS, Lyapunov stability theory and linear matrix inequality method, the negative semi-definite matrix conditions of exponential stability and the dynamical output feedback controller design method for the singular NCS with multiple-packet transmission are presented. Numerical examples show that the negative semi-definite matrix conditions of exponential stability and the controller design method are feasible.