Abstract— In this paper, the synchronization of stochastic neural networks with leakage delay and mixed time-varying delays is studied. Through constructing an improved Lyapunov-Krasovskii functional, as well as employing LaSalle-type invariance principle for stochastic differential delay equations, an adaptive controller is designed to guarantee the synchronization of stochastic neural networks with leakage delay and mixed time-varying delays based on linear matrix inequality (LMI) approach. The provided conditions are expressed in terms of linear matrix inequalities, and their feasibility can be easily checked by resorting to Matlab LMI Toolbox. Moreover, the addressed system can include some famous neural network models as its special cases, which can help extend those present results. Finally, the effectiveness of the proposed method can be further illustrated with the help of a numerical example.
Index Terms— Adaptive synchronization, stochastic neural network, leakage delay, lyapunov-krasovskii functional, linear matrix inequality.
The authors are with the School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China (e-mail: cdycshi@163.com, zpy6940@sina.com).
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Cite: Yanchao Shi and Peiyong Zhu, " Synchronization of Stochastic Neural Networks with Leakage Delay and Mixed Time-Varying Delays," International Journal of Information and Electronics Engineering vol. 3, no. 6, pp. 599-604, 2013.
