Graph theory-based finite-time synchronization of fractional-order complex dynamical networks |
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| Authors: | Hong-Li Li Jinde Cao Haijun Jiang Ahmed Alsaedi |
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| Institution: | 1. School of Mathematics, Southeast University, Nanjing 210096, China;2. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China;3. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;4. School of Electrical Engineering, Nantong University, Nantong 226019, China;5. School of Mathematics and Statistics, Shandong Normal University, Ji’nan 250014, PR China |
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| Abstract: | This paper considers the finite-time synchronization problem for a class of fractional-order complex dynamical networks (FOCDNs). By utilizing the properties of fractional calculus and fractional-order comparison principle, we propose a new lemma. Base on the new lemma, some analysis techniques and algebraic graph theory method, some novel criteria are given to ensure finite-time synchronization of FOCDNs, and the upper bound of the setting time for synchronization is estimated. At last, numerical simulations are given to verify the effectiveness of the obtained results. |
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| Keywords: | Corresponding author at: School of Mathematics Southeast University Nanjing 210096 China |
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