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Improved Criteria on Delay-Dependent Stability for Discrete-Time Neural Networks with Interval Time-Varying Delays

机译:具有时间变化时滞的离散神经网络的时延相关稳定性改进准则

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The purpose of this paper is to investigate the delay-dependent stability analysis for discrete-time neural networks with interval time-varying delays. Based on Lyapunov method, improved delay-dependent criteria for the stability of the networks are derived in terms of linear matrix inequalities (LMIs) by constructing a suitable Lyapunov-Krasovskii functional and utilizing reciprocally convex approach. Also, a new activation condition which has not been considered in the literature is proposed and utilized for derivation of stability criteria. Two numerical examples are given to illustrate the effectiveness of the proposed method.
机译:本文的目的是研究具有间隔时变时滞的离散时间神经网络的时滞相关稳定性分析。基于Lyapunov方法,通过构造合适的Lyapunov-Krasovskii泛函并利用倒凸方法,根据线性矩阵不等式(LMI)得出了改进的依赖于网络的稳定性的依赖于延迟的准则。而且,提出了文献中未考虑的新的活化条件,并将其用于稳定性标准的推导。给出了两个数值例子,说明了该方法的有效性。

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