Analysis and Pinning Control for Output Synchronization and $\mathcal{H}_{\infty}$ Output Synchronization of Multiweighted Complex Networks

The output synchronization and ${\mathcal {H}_{\infty }}$ output synchronization problems for multiweighted complex network are discussed in this paper. First, we analyze the output synchronization of multiweighted complex network by exploiting Lyapunov functional and Barbalat’s lemma. In addition, some nodes- and edges-based pinning control strategies are developed to ensure the output synchronization of multiweighted complex network. Similarly, the ${\mathcal {H}_{\infty }}$ output synchronization problem of multiweighted complex network is also discussed. Finally, two numerical examples are presented to verify the correctness of the obtained results.

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