Shikun Zhang, Dan Liu, Xiaohong Cui, Kun Zhou, Binrui Wang
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引用次数: 0
Abstract
This paper aims to study the finite-time (FNT) and fixed-time (FXT) cluster synchronization problems of complex networks (CNs). First, to ensure scalability of CNs, the adaptive laws are proposed to update coupling weights between neighboring nodes in same cluster. In this case, only local information is required instead of global one. Then, by designing the appropriate controllers and employing Lyapunov stable theory, several sufficient conditions are obtained to fulfill cluster synchronization in FNT and FXT. When the number of clusters is single, the general FNT and FXT synchronization are also investigated under distributed adaptive strategies. Finally, the theoretical results are verified by a numerical simulation example.
期刊介绍：
The Journal of The Franklin Institute has an established reputation for publishing high-quality papers in the field of engineering and applied mathematics. Its current focus is on control systems, complex networks and dynamic systems, signal processing and communications and their applications. All submitted papers are peer-reviewed. The Journal will publish original research papers and research review papers of substance. Papers and special focus issues are judged upon possible lasting value, which has been and continues to be the strength of the Journal of The Franklin Institute.
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