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Stability and Synchronization of Discrete-Time Neural Networks With Switching Parameters and Time-Varying Delays

机译:具有切换参数和时变时滞的离散神经网络的稳定性和同步

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This paper is concerned with the problems of exponential stability analysis and synchronization of discrete-time switched delayed neural networks. Using the average dwell time approach together with the piecewise Lyapunov function technique, sufficient conditions are proposed to guarantee the exponential stability for the switched neural networks with time-delays. Benefitting from the delay partitioning method and the free-weighting matrix technique, the conservatism of the obtained results is reduced. In addition, the decay estimates are explicitly given and the synchronization problem is solved. The results reported in this paper not only depend upon the delay, but also depend upon the partitioning, which aims at reducing the conservatism. Numerical examples are presented to demonstrate the usefulness of the derived theoretical results.
机译:本文涉及离散时间切换时滞神经网络的指数稳定性分析和同步问题。利用平均停留时间方法和分段Lyapunov函数技术,提出了充分的条件来保证具有时滞的开关神经网络的指数稳定性。得益于延迟划分方法和自由加权矩阵技术,降低了所得结果的保守性。另外,明确给出了衰减估计并解决了同步问题。本文报道的结果不仅取决于延迟,而且取决于旨在减少保守性的划分。数值算例表明了所得理论结果的有效性。

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