Finite-time multi-switching synchronization behavior for multiple chaotic systems with network transmission mode |
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| Authors: | Xiangyong Chen Jinde Cao Ju H Park Tingwen Huang Jianlong Qiu |
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| Institution: | 1. School of Automation and Electrical Engineering and Key Laboratory of Complex systems and Intelligent Computing in Universities of Shandong, Linyi University, Linyi 276005, China;2. School of Mathematics, Southeast University, Nanjing 210096, China;3. School of Electrical Engineering, Nantong University, Nantong 226000, China;4. School of Mathematical Sciences, Shandong Normal University, Ji''nan 250014, China;5. Department of Electrical Engineering, Yeungnam University, Kyongsan 38541, Republic of Korea;6. Texas A&M University at Qatar, PO Box 23874, Doha, Qatar;g. Department of Information Technology, King Abdulaziz University, Jeddah 21589, Saudi Arabia |
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| Abstract: | By considering network transmission mode, this paper addresses the finite-time multi-switching synchronization problem for two kinds of multiple chaotic systems. For multiple same-order chaotic systems, we construct the general switching rules and analyze the existence of switching cases. The presented schemes guarantee the states of each derive system to be finite-timely synchronized with the desired states of every respond system in the different transmission paths and switching sequences. For multiple different order chaotic systems, we analyze a special multi-switching hybrid synchronization behavior, where part of the states are completely synchronized and the others belong to combination synchronization. Moveover, the easily verifiable criterion is derived for such synchronization. Finally, numerical examples are given to show the effectiveness of the presented theoretical results. |
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| Keywords: | Corresponding authors |
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