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Robust impulsive synchronization of complex delayed dynamical networks |
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| Authors: | Shuiming Cai Lan Xiang |
| Institution: | a Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China b Department of Physics, Shanghai University, Shanghai 200444, China c Institute of System Biology, Shanghai University, Shanghai 200444, China |
| Abstract: | This Letter investigates robust impulsive synchronization of complex delayed dynamical networks with nonsymmetrical coupling from the view of dynamics and control. Based on impulsive control theory on delayed dynamical systems, some simple yet generic criteria for robust impulsive synchronization are established. It is shown that these criteria can provide a novel and effective control approach to synchronize an arbitrary given delayed dynamical network to a desired synchronization state. Comparing with existing results, the advantage of the control scheme is that synchronization state can be selected as a weighted average of all the states in the network for the purpose of practical control strategy. Finally, numerical simulations are given to demonstrate the effectiveness of the proposed control methodology. |
| Keywords: | 05 10 -a 05 45 Xt |
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