Controlling anti-synchronization between two weighted dynamical networks

In this paper, we theoretically and numerically investigate anti-synchronization between two weighted dynamical networks. Based on the Barbalat lemma, we propose two adaptive controllers to realize the global anti-synchronization between two networks with both equivalent and different topological structures. In addition, we derive two theorems on the anti-synchronization based on the Lyapunov stability theory and verify them by extensive numerical examples.

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