Generalized Outer Synchronization Control of Multi-weights Complex Networks with Distinct Dimensions and Structures
SUN Yanqin1,2, WU Huaiyu1, CHEN Zhihuan1
1. School of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan 430000, China; 2. School of Mechatronics and Intelligent Manufacturing, Huanggang Normal University, Huanggang 438000, China
Abstract：To more accurately reflect the diverse and characteristics of heterogeneous complex networks, a novel model of two multi-weights complex networks with distinct dimensions and structures is proposed. A new adaptive synchronization controller is designed based on the method of adaptive control and Lyapunov stability theory. Through rigorous theoretical derivation, sufficient conditions for achieving generalized outer synchronization of the two networks are obtained. In contrast to existing literature, the properties of network individual nodes and external coupling matrices can be different. Finally, two numerical simulation examples are presented, and the results demonstrate that the proposed method is a feasible and effective approach for achieving outer synchronization in such networks.
孙艳琴, 吴怀宇, 陈志环. 异维异构多重边复杂网络的广义外同步控制[J]. 复杂系统与复杂性科学, 2026, 23(2): 34-40.
SUN Yanqin, WU Huaiyu, CHEN Zhihuan. Generalized Outer Synchronization Control of Multi-weights Complex Networks with Distinct Dimensions and Structures[J]. Complex Systems and Complexity Science, 2026, 23(2): 34-40.
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