Lag synchronization of complex dynamical networks with randomly occurring parameter uncertainties and control packet loss via stochastic sampled-data control

Abstract

ABSTRACTThis paper focuses on the lag synchronization of two general complex dynamical networks with randomly occurring parameter uncertainties and control packet loss. The randomly occurring uncertainties are adopted to reflect more realistic dynamical behaviours of complex networks that are caused by noisy environment. By introducing a Bernoulli distributed stochastic variable, the information of probabilistic time-varying delay is transformed into the deterministic time-varying delay with stochastic parameters. Sampled-data controllers with stochastically varying sampling intervals are considered and a switched system is used to describe packet dropouts in a deterministic way. Some sufficient conditions for the lag synchronization in the mean square are derived in terms of constructing an appropriate Lyapunov function and using linear matrix inequalities. Finally, a numerical example is given to show the effectiveness of the theoretical results.