Mean square exponential synchronization in Lagrange sense for uncertain complex dynamical networks |
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| Authors: | Wuneng Zhou Tianbo Wang Jinping Mou Jian'an Fang |
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| Institution: | 1. School of Mathematics and Computation Science, Anqing Normal University, Anqing 246133, China;2. School of Mathematics, Southeast University, Nanjing 210096, China;3. School of Mathematics, Anhui University, Hefei 230039, China;4. Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia;5. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia |
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| Abstract: | In this paper, the problem of the mean square exponential synchronization in Lagrange sense for the uncertain complex network is investigated. A complex network usually appears some uncertain phenomena, which includes varying topology structure, destroyed nodes, and the noise disturbance from circumstance. Based on the Lyapunov stability theory and the Kronecker product analysis technique, some conditions to guarantee the complex network mean square exponential synchronization in Lagrange sense are provided. Finally, two numerical examples are provided to illustrate the effectiveness of the method proposed. |
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