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Zbl 1221.93225
Li, Xiaodi; Fu, Xilin
Synchronization of chaotic delayed neural networks with impulsive and stochastic perturbations. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 16, No. 2, 885-894 (2011). ISSN 1007-5704

Summary: We study the exponential synchronization problem of a class of chaotic delayed neural networks with impulsive and stochastic perturbations. The involved time delays include time-varying delays and unbounded distributed delays. Employing the method of impulsive delay differential inequality, several new sufficient conditions ensuring the exponential synchronization are obtained, which can be easily checked by the {\tt LMI Control Toolbox} in {\tt Matlab}. Compared with the previous methods, our method does not resort to complicated Lyapunov--Krasovkii, and the results derived are independent of the time-varying delays and do not require the differentiability of delay functions and the monotony of the activation functions. Finally, a numerical example and its simulation is given to show the effectiveness of the obtained results in this paper.

MSC 2000:: *93D15 Stabilization of systems by feedback
34K50 Stochastic delay equations
60G35 Appl. of stochastic processes
92B20 General theory of neural networks

Keywords: exponential synchronization; chaotic neural networks; impulsive delay differential inequality; time-varying delays; unbounded distributed delays; impulsive and stochastic perturbations; {\tt LMI Control Toolbox}; {\tt Matlab}

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