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Exponential Synchronization of Stochastic Memristive Recurrent Neural Networks Under Alternate State Feedback Control

Xiaofan Li*, Jian-an Fang, and Huiyuan Li
International Journal of Control, Automation, and Systems, vol. 16, no. 6, pp.2859-2869, 2018

Abstract : "This paper solves the exponential synchronization problem of two memristive recurrent neural networks with both stochastic disturbance and time-varying delays via periodically alternate state feedback control. First, a periodically alternate state feedback control rule is designed. Then, on the basis of the Lyapunov stability theory, some novel sufficient conditions guaranteeing exponential synchronization of drive-response stochastic memristive recurrent neural networks via periodically alternate state feedback control are derived. In contrast to some previous works about synchronization of memristive recurrent neural networks, the obtained results in this paper are not difficult to be validated, and complement, extend and generalize the earlier papers. Lastly, an illustrative example is provided to indicate the effectiveness and applicability of the obtained theoretical results."

Keyword : Exponential synchronization, memristor-based recurrent neural networks, stochastic perturbations, alternate control.

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