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.

中文翻译：

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多权复杂网络的输出同步和$\mathcal{H}_{\infty}$输出同步的分析和固定控制


本文讨论了多权复杂网络的输出同步和${\mathcal {H}_{\infty }}$输出同步问题。首先，我们利用 Lyapunov 泛函和 Barbalat 引理分析多权复杂网络的输出同步。此外，还开发了一些基于节点和边缘的钉扎控制策略，以确保多权复杂网络的输出同步。类似地，还讨论了多权复杂网络的${\mathcal {H}_{\infty }}$输出同步问题。最后给出两个数值算例来验证所得结果的正确性。