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Synchronization of general complex networks via adaptive control schemes |
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| Authors: | PING HE CHUN-GUO JING CHANG-ZHONG CHEN TAO FAN HASSAN SABERI NIK |
| Institution: | 1. School of Information Science & Engineering, Northeastern University, Shenyang, Liaoning, 110819, People’s Republic of China 4. School of Computer and Communication Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, Hebei, 066004, People’s Republic of China 2. School of Automation and Electronic Information, Sichuan University of Science & Engineering, Zigong, Sichuan, 643000, People’s Republic of China 3. Artificial Intelligence Key Laboratory of Sichuan Province, Sichuan University of Science & Engineering, Zigong, Sichuan, 643000, People’s Republic of China 5. Department of Mathematics, Neyshabur Branch, Islamic Azad University, Neyshabur, Iran |
| Abstract: | In this paper, the synchronization problem of general complex networks is investigated by using adaptive control schemes. Time-delay coupling, derivative coupling, nonlinear coupling etc. exist universally in real-world complex networks. The adaptive synchronization scheme is designed for the complex network with multiple class of coupling terms. A criterion guaranteeing synchronization of such complex networks is established by employing the Lyapunov stability theorem and adaptive control schemes. Finally, an illustrative example with numerical simulation is given to show the feasibility and efficiency of theoretical results. |
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