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Adaptive Synchronization of Complex Dynamical Networks: Dealing with Uncertain Impulses
该文于2024年发表在控制领域顶刊IEEE Transactions on Automatic Control,作者为朱帅兵(湖南师范大学),周进(武汉大学),吕金虎(北京航空航天大学,IEEE Fellow),陆君安(武汉大学)。
论文链接 https://ieeexplore.ieee.org/document/10360254
报告:报告-具有不确定脉冲的复杂动态网络的自适应同步.pdf
Abstract:The synchronization problem of complex dynamical networks with impulsive effects has been extensively addressed. However, great challenges arise when applying the existing synchronization criteria to networks with uncertain impulses. In this talk, we will address the adaptive synchronization problem of complex networks with uncertain impulses. First, the adaptive control gain is proved to be bounded for both synchronizing and desynchronizing impulses. Then, adaptive synchronization criteria for impulsive networks are derived from the boundedness of the control gain. Finally, a numerical example is provided to validate the proposed criteria.
摘要:尽管带有脉冲效应的复杂网络同步问题已得到广泛探讨,但处理具有不确定脉冲的网络时,现有的同步准则往往面临挑战。本次报告讨论具有不确定脉冲的复杂网络的自适应同步问题。首先,证明了无论脉冲是利于同步的还是不利于同步的,自适应控制增益都能保持有界。基于控制增益的有界性,推导出了针对脉冲网络的自适应同步准则。最后,通过一个数值例子验证了同步准则的有效性。
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