New result on synchronization of complex dynamical networks with time-varying coupling delay and sampled-data control

In this paper, the sampled-data synchronization control problem is investigated for complex dynamical networks (CDNs) with time-varying coupling delay. By constructing a suitable Lyapunov-Krasovskii functional containing some novel triple integral terms with sufficient information about the actual sampling pattern, and together with a general inverse of first-order technique and some effective integral inequalities, less conservative conditions are given in terms of linear matrix inequalities (LMIs) to guarantee the synchronization of sampled-data CDNs with time-varying coupling delay. Numerical examples are provided to illustrate the effectiveness and less conservativeness of the proposed approaches.

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