Intermittent control for fixed-time synchronization of coupled networks

Dear Editor, This letter deals with fixed-time synchronization (Fd-TS) of complex networks (CNs) under aperiodically intermittent control (AIC) for the first time. The average control rate and a new Lyapunov function are proposed to overcome the difficulty of dealing with fixed-time stability/synchr...

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Published inIEEE/CAA journal of automatica sinica Vol. 10; no. 6; pp. 1 - 3
Main Authors Wu, Yongbao, Sun, Ziyuan, Ran, Guangtao, Xue, Lei
Format Journal Article
LanguageEnglish
Published Piscataway Chinese Association of Automation (CAA) 01.06.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
School of Automation,Southeast University,Nanjing 210096,China%Department of Applied Mathematics,University of Waterloo,Ontario N2J 4N3,Canada%Department of Control Science and Engineering,Harbin Institute of Technology,Harbin 150001,China
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Summary:Dear Editor, This letter deals with fixed-time synchronization (Fd-TS) of complex networks (CNs) under aperiodically intermittent control (AIC) for the first time. The average control rate and a new Lyapunov function are proposed to overcome the difficulty of dealing with fixed-time stability/synchronization of CNs for AIC. Based on the Lyapunov and graph-theoretical methods, a Fd-TS criterion of CNs is given. Moreover, the method of this letter is also applicable to the study of finite-time synchronization of CNs for AIC. Finally, the theoretical results are applied to study the Fd-TS of oscillator systems, and simulation results are given to verify the effectiveness of the results.
ISSN:2329-9266
2329-9274
DOI:10.1109/JAS.2023.123363