Exponential synchronization of complex networks via feedback control and periodically intermittent noise |
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| Institution: | 1. College of Science, Hohai University, Nanjing 210098, China;2. National Research Base of Intelligent Manufacturing Service, Chongqing Technology and Business University, Chongqing, 400067, China;1. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China;2. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China;1. School of Electrical Engineering, Zhengzhou University, Zhengzhou, Henan 450001, China;2. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, Henan 450001, China;3. Center for Interdisciplinary Information Science Research, Zhengzhou University, Zhengzhou 450001, China;4. School of Electrical, Computer and Telecommunications Engineering, University of Wollongong, Wollongong, NSW 2522, Australia;1. AnHui Province Key Laboratory of Special Heavy Load Robot and School of Electrical and Information Engineering, Anhui University of Technology, Ma’anshan 243032, China;2. School of Automation and Electrical Engineering, Linyi University, Linyi 276005, China;3. School of Information Science and Engineering, Chengdu University, Chengdu, 610106, PR China;1. Division of Electrical and Electronic Engineering, Graduate School of Engineering, Mie University, Tsu 514-8507, Japan;2. School of Electronics and Information Engineering, Suzhou University of Science and Technology, Suzhou 215009, China |
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| Abstract: | In complex networks, asymptotic properties play an important role in modeling, analysis and design in both aspects of theory and practice. In this paper, our focus is on exponential synchronization for a class of complex networks. Under certain conditions, a feedback control and stochastic periodically intermittent noise are designed to synchronize the networks. Such synchronization scheme needs less control energy due to the usage of the intermittent noise. The threshold of intermittent rate for synchronization scheme is derived. Moreover, the noise states are observed in discrete-time mode, which reduces the complexity and the computation burden for continuous observations. The observation supremum is obtained by solving a transcendental equation. Finally, a simulation example is provided, and the comparison results with some existing methods illustrate the effectiveness and advantages of the proposed new design strategy. |
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