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Exponential stabilization of neural networks with time-varying delay by periodically intermittent control

机译:时滞控制的时变时滞神经网络的指数稳定

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This paper investigates the exponential stabilization of neural networks with time-varying delay by periodically intermittent control. By employing the free-matrix-based integral inequality and using some new analysis techniques, some novel exponential stabilization criteria are derived based on the Lyapunov-Krasovskii (L-K) functional method. The obtained criteria are in terms of linear matrix inequalities without transcendental equation, instead of nonlinear matrix inequalities, which reduces the computational burden. Compared to existing results in corresponding literatures, our results have a wider range of applications, and overcome no feasible solution if the information on the sizes of delays is ignored for the design of the intermittent controller. A numerical simulation is provided to show the effectiveness and the benefits of the theoretical results. (C) 2016 Elsevier B.V. All rights reserved.
机译:本文研究了具有周期性时滞控制的时变时滞神经网络的指数稳定性。通过使用基于自由矩阵的积分不等式并使用一些新的分析技术,基于Lyapunov-Krasovskii(L-K)泛函方法,得出了一些新颖的指数稳定准则。所获得的标准是根据没有先验方程的线性矩阵不等式,而不是非线性矩阵不等式,这减少了计算负担。与相应文献中的现有结果相比,我们的结果具有更广泛的应用范围,并且如果在间歇控制器的设计中忽略了有关延迟大小的信息,则无法解决任何可行的解决方案。数值模拟显示了理论结果的有效性和益处。 (C)2016 Elsevier B.V.保留所有权利。

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