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Robust exponential stabilization of uncertain discrete-time stochastic switched neural networks

机译:不确定离散随机切换神经网络的鲁棒指数镇定

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This paper deals with robust exponential stabilization for a class of uncertain discrete-time stochastic switched neural networks with time-delay. In the concerned model, stochastic disturbance is described by a Brownian motion. By using the average dwell time approach, the free-weighting matrix method combining with the stochastic stability theory and the multiple Lyapunov-Krasovskii functional technique, a state feedback controller is established and the sufficient condition in terms of linear matrix inequalities (LMIs) is presented, which guarantees that the neural network is robustly exponentially stabilizable. Finally, a numerical example is given to illustrate the effectiveness of the obtained results.
机译:针对一类具有时滞的不确定离散时间随机切换神经网络,研究了鲁棒指数镇定问题。在相关模型中,随机扰动由布朗运动描述。通过使用平均停留时间方法,结合随机稳定性理论和多重Lyapunov-Krasovskii功能技术的自由加权矩阵方法,建立了状态反馈控制器,并给出了线性矩阵不等式(LMI)的充分条件,保证了神经网络的鲁棒指数稳定。最后,通过数值例子说明了所得结果的有效性。

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