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Global synchronization of cellular neural network with timedelays
by modified sliding mode control method |
1.Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu 212013, China; 2.Jiangsu Research and Development Center for Internet of Things, Wuxi, Jiangsu 224000, China |
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Abstract Using the modified sliding mode control method, the global synchronization of cellular neural network was investigated with multidelays and distributed delays. Based on the Lyapunov stability theorem, by the linear matrix inequality technique and designing a suitable sliding surface, a sufficient condition was derived to guarantee the global stability of the error system under delayindependent and delaydependent situations. The feasible sliding mode control law was designed so that the trajectory of the error system was globally driven onto the specified sliding surface. The global synchronization of cellular neural network with both multidelays and distributed delays was realized. The results show that the proposed sliding mode controller can be designed to achieve high gain compensation by the error output feedback control, and can be used to deal with the global synchronization of neural networks. The proposed method can also be applied for other complex neural networks.
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