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

作　　者：GAO Jie ZHAO Junchan 

机构地区：[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

出　　处：《Journal of Systems Science & Complexity》2022年第5期1748-1760,共13页系统科学与复杂性学报（英文版）

基　　金：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;in part by the Youth Innovation Team of SWPU under Grant No.2019CXTD08。

摘　　要：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.

关 键 词：Chattering behaviors complex networks fixed-time synchronization intermittent control 

分 类 号：O157.5[理学—数学]