Fixed-time synchronization of kuramoto-oscillator networks with a simpler non-chattering controller

作     者：Cai, Yuchen Liu, Xiaoting Yin, Xiangxin Wu, Jie Sun, Yongzheng 

作者机构：China Univ Min & Technol Sch Math Xuzhou 221116 Peoples R China Jiangnan Univ Sch Artificial Intelligence & Comp Sci Wuxi 214122 Peoples R China 

出 版 物：《PHYSICA SCRIPTA》 (Phys Scr)

年 卷 期：2025年第100卷第2期

页      面：025202-025202页

核心收录：

学科分类：07[理学] 0702[理学-物理学] 

基　　金：National Training Program of lnnovation and Entrepreneurship for Undergraduates of China University of Mining and Technology National Natural Science Foundation of China [12271519, 2211001016] Natural Science Foundation of Jiangsu Province [No.BK20211241] Natural Science Foundation of Shenzhen [JCYJ20240813101300001] 202310290070Z 

主　　题：kuramoto-oscillator networks fixed-time synchronization non-chattering controller 

摘      要：In this paper, Kuramoto-oscillator networks with identical and non-identical oscillators are studied in terms of fixed-time phase agreement and frequency synchronization. Different from traditional fixed-time controllers, we propose a simpler non-chattering controller that does not contain a sign function to overcome the chattering phenomenon. Additionally, the controller does not include a linear part, enhancing simplicity and practical convenience. The upper time bound of synchronization is estimated, and sufficient conditions for realizing fixed-time synchronization are derived using stability theory. Simulation results show the validity and correctness of our theoretical analyses. Finally, we examine the influence of control parameters on synchronization time.