Mean-square exponential stabilization of packet- based networked systems with time-varying transmission delays, packet losses and input missing

This paper is concerned with the mean-square exponential stabilization of packet-based networked systems with time-varying transmission delays, packet losses and input missing. Based on a multivariate i.i.d. model of input delays and a Bernoulli model of input missing, the packet-based networked system is formulated as a switching system with multiple subsystems of different input delays. The sufficient fast-switching conditions are directly established for the closed-loop mean-square exponential stability via an appropriate Lyapunov-Krasovskii approach different from average dwell time approach. The resulting controller design method can be obtained by cone complementarity linearization (CCL). Numerical example is also given to substantiate the effectiveness of our results.