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Zbl 1244.93128
Wu, Xuefei; Xu, Chen; Feng, Jianwen; Zhao, Yi; Zhou, Xuan
Generalized projective synchronization between two different neural networks with mixed time delays. (English)
[J] Discrete Dyn. Nat. Soc. 2012, Article ID 153542, 19 p. (2012). ISSN 1026-0226; ISSN 1607-887X/e

Summary: The generalized projective synchronization (GPS) between two different neural networks with nonlinear coupling and mixed time delays is considered. Several kinds of nonlinear feedback controllers are designed to achieve GPS between two different such neural networks. Some results for GPS of these neural networks are proved theoretically by using the Lyapunov stability theory and the LaSalle invariance principle. Moreover, by comparison, we determine an optimal nonlinear controller from several ones and provide an adaptive update law for it. Computer simulations are provided to show the effectiveness and feasibility of the proposed methods.

MSC 2000:: *93D05 Lyapunov and other classical stabilities of control systems
92B20 General theory of neural networks

Keywords: projective synchronization; neural networks

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