Abstract

In this paper, we investigate outer synchronization of two small-world dynamical networks via second-order sliding mode control strategy. In particular, based on the coupling feature of the nodes, a message feedback chain is established. And then, the synchronization will be analyzed via pinning some nodes. By means of the second-order sliding mode theory, we propose the effective controller to realize outer synchronization between two small-world networks with a lower cost. Finally, we present some simulations to illustrate the theoretical results.

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