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Stability Analysis for Dynamical Neural Networks with Distributed Delays

机译:具有分布时滞的动态神经网络的稳定性分析

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This paper is concerned with stability analysis for a class of dynamical neural networks with distributed delays. The M-matrix theory and new analysis technique are used to obtain new sufficient conditions for the existence, uniqueness and global stability of the equilibrium point of dynamical neural networks with distributed delays. The importance of the new stability criteria in the design and application of dynamical neural networks with distributed delays is due to the fact that they can handle the case when the non-delayed terms can not dominate the delayed terms. The effectiveness of the obtained theoretical results are illustrated by numerical examples.
机译:本文涉及一类具有分布时滞的动态神经网络的稳定性分析。利用M矩阵理论和新的分析技术,为具有分布时滞的动态神经网络平衡点的存在,唯一性和全局稳定性提供了新的充分条件。新的稳定性标准在具有分布延迟的动态神经网络的设计和应用中的重要性是由于它们可以处理非延迟项不能控制延迟项的情况。数值算例说明了所获得理论结果的有效性。

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