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Exponential synchronization for complex dynamical networks with sampled-data. (English) Zbl 1264.93013
Summary: This paper is concerned with the problem of exponential synchronization for a kind of Complex Dynamical Networks (CDNs) with time-varying coupling delay and sampled-data. The sampling period considered here is assumed to be time-varying but bounded. A newly exponential synchronization condition is provided by using the Lyapunov method. Based on the condition, a set of sampled-data synchronization controllers is designed in terms of the solution of Linear Matrix Inequalities (LMIs) that can be solved effectively by using available software. The derived results are theoretically and numerically proved to be less conservative than the existing results. Two numerical examples are introduced to show the effectiveness and improvement of the given results.

##### MSC:
 93A15 Large-scale systems 93C57 Sampled-data control/observation systems 93C15 Control/observation systems governed by ordinary differential equations
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