Fixed-time pinning synchronization for delayed complex networks under completely intermittent control |
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| Institution: | 1. Department of Mathematics, Shanghai Maritime University, Shanghai 201306, China;2. College of Mechanical and Electrical Engineering, Jiaxing University, Jiaxing 314001, China;3. School of Mathematics, and Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing 210096, China;4. Yonsei Frontier Lab, Yonsei University, Seoul 03722, South Korea;1. College of Science, Hunan University of Technology, Zhuzhou 412000, Hunan, P. R. China;2. Department of Electrical and Electronic Engineering, The University of Hong Kong, Hong Kong, P. R. China;3. The Mork Family Department of Chemical Engineering and Materials Science, Viterbi School of Engineering, University of Southern California, Los Angeles, CA 90089 USA;1. School of Mathematics and Statistics, Shandong Normal University, Ji’nan, 250014, PR China;2. School of Automation and Electrical Engineering, Linyi University, Linyi 276005, PR China |
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| Abstract: | The present study investigates the fixed-time synchronization issue for delayed complex networks under intermittent pinning control. Different from some existing semi-intermittent controllers for finite/fixed-time synchronization, our pinning controller is designed in a complete intermittent way. In order to address the encountered theoretical analysis difficulties, a new differential inequality lemma is developed, which is suitable for the fixed-time synchronization studies under periodic or aperiodic complete intermittent control. Then, by using Lyapunov theory and pinning control approach, sufficient conditions are proposed which can guarantee the aperiodically completely intermittent-controlled delayed complex networks realizing fixed-time pinning synchronization. Moreover, the settling time is explicitly estimated, which is irrelevant to the initial values of our network systems. Additionally, as a special case, the scenario of periodic complete intermittent control is also discussed. At last, some simulation examples are utilized to confirm our theoretical outcomes. |
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