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Exponential synchronization of complex dynamical networks with Markovian jumping parameters using sampled-data and mode-dependent probabilistic time-varying delays
Authors:R. Rakkiyappan  N. Sakthivel  S. Lakshmanan
Affiliation:a Department of Mathematics, Bharathiar University, Coimbatore-641 046, Tamilnadu, India;b Department of Mathematical Sciences, College of Science, UAE University, Al Ain 15551, UAE
Abstract: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.
Keywords:complex networks  exponential synchronization  mode-dependent time-varying delays  linear matrix inequalities  sampled-data control
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