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Robust adaptive synchronisation of complex networks with multiple coupling time-varying delays

机译:具有多个耦合时变延迟的复杂网络的鲁棒自适应同步

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摘要

The synchronisation problem of complex networks with multiple coupled time-varying delays is investigated in this paper. By using Lyapunov stability theory and robust adaptive principle, several synchronisation criteria are deduced for both complex networks with and without norm uncertainties. The main results show that the states of all nodes of complex networks globally asymptotically synchronise to a desired synchronisation state by designing suitable robust adaptive synchronisation controllers which have strong robustness against the uncertainties in coupling matrices. Finally, several illustrative examples with numerical simulations are given to show the feasibility and robustness of theoretical results.
机译:研究了具有多个时变耦合时滞的复杂网络的同步问题。通过使用Lyapunov稳定性理论和鲁棒的自适应原理,针对具有和不具有范数不确定性的复杂网络,推导了几种同步准则。主要结果表明,通过设计合适的鲁棒自适应同步控制器,复杂网络的所有节点的状态全局渐近同步到所需的同步状态,该控制器对耦合矩阵的不确定性具有很强的鲁棒性。最后,给出了几个带有数值模拟的说明性例子,以显示理论结果的可行性和鲁棒性。

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