Finite-time synchronization of multi-weighted complex networks with unknown couplings

Bin Zhang, Wen Qin, Mouquan Shen, Zhihao Zhang, Zheng Hong Zhu · Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering · 2025

This paper focuses on the finite-time synchronization of multi-weighted complex networks. An adaptive integral error term is developed to treat unknown couplings. A proportional integral control strategy with chattering suppression is proposed to achieve finite-time synchronization. A sufficient criterion is built via the Lyapunov stability theory and the finite-time stability lemma. The effectiveness of the proposed adaptive method is verified through a numerical example.

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