### Fixed-Time Synchronization of Complex Networks via Intermittent Control Without Sign Function

GAO Jie1, ZHAO Junchan2,3

1. 1. School of Science, Southwest Petroleum University, Chengdu 610500, China;
2. School of Science, Hunan University of Technology and Business, Changsha 410205, China;
3. Key Laboratory of Hunan Province for Statistical Learning and Intelligent Computation, Changsha 410205, China
• Received:2021-01-15 Revised:2021-04-29 Online:2022-10-25 Published:2022-10-12
• Supported by:
This research was supported in part by the National Social Science Fund under Grant No.18BTJ025,in part by the Scientific Research Starting Project of SWPU under Grant No.2019QHZ018,and in part by the Youth Innovation Team of SWPU under Grant No.2019CXTD08.

GAO Jie, ZHAO Junchan. Fixed-Time Synchronization of Complex Networks via Intermittent Control Without Sign Function[J]. Journal of Systems Science and Complexity, 2022, 35(5): 1748-1760.

This paper investigates the fixed-time synchronization problem of complex networks.A novel switching controller is proposed to solve the problem.The designed controller in this paper only needs intermittently to pin a few of nodes,which could reduce the control time and save the system's energy.Moreover,compared with the existing control methods for the fixed-time synchronization,the novel controller does not use the sign function,which could avoid the chattering behaviors.By constructing a Lyapunov function and designing a comparison system,some sufficient conditions are obtained to achieve the fixed-time synchronization.Finally,the numerical simulations could verify the effectiveness and feasibility of the proposed control approaches.
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