Exponential synchronization of complex dynamical networks with Markovian jumping parameters using sampled-data and mode-dependent probabilistic time-varying delays

In this paper,the problem of exponential synchronization of complex dynamical networks with Markovian jumping parameters using sampled-data and Mode-dependent probabilistic time-varying coupling delays is investigated.The sampling period is assumed to be time-varying and bounded.The information of probability distribution of the time-varying delay is considered and transformed into parameter matrices of the transferred complex dynamical network model.Based on the condition,the design method of the desired sampled data controller is proposed.By constructing a new Lyapunov functional with triple integral terms,delay-distribution-dependent exponential synchronization criteria are derived in the form of linear matrix inequalities.Finally,two numerical examples are given to illustrate the effectiveness of the proposed methods.