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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多加权复杂网络输出同步和H∞输出同步的分析与固定控制

输出同步和 $ {\ mathcal {H} _ {\ infty}} $ 本文讨论了多加权复杂网络的输出同步问题。首先，我们利用Lyapunov函数和Barbalat引理分析了多加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固定控制策略，以确保多加权复杂网络的输出同步。同样， $ {\ mathcal {H} _ {\ infty}} $ 还讨论了多加权复杂网络的输出同步问题。最后，通过两个数值例子验证了所获得结果的正确性。