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New convergence on inertial neural networks with time-varying delays and continuously distributed delays
AIMS Mathematics ( IF 1.8 ) Pub Date : 2020-07-21 , DOI: 10.3934/math.2020381 Qian Cao , , Xin Long ,
AIMS Mathematics ( IF 1.8 ) Pub Date : 2020-07-21 , DOI: 10.3934/math.2020381 Qian Cao , , Xin Long ,
In this paper, a class of inertial neural networks with bounded time-varying delays and unbounded continuously distributed delays are explored by applying non-reduced order method. Based upon differential inequality techniques and Lyapunov function method, a new sufficient condition is presented to ensure all solutions of the addressed model and their derivatives converge to zero vector, which refines some previously known researches. Moreover, a numerical example is provided to illustrate these analytical conclusions.
中文翻译:
具有时变时滞和连续分布时滞的惯性神经网络的新收敛
本文采用非降阶方法,研究了一类具有时变时滞和无界连续分布时滞的惯性神经网络。基于微分不等式技术和Lyapunov函数方法,提出了一个新的充分条件,以确保寻址模型及其导数的所有解收敛于零向量,从而完善了一些先前的研究。此外,提供了一个数值示例来说明这些分析结论。
更新日期:2020-07-21
中文翻译:
具有时变时滞和连续分布时滞的惯性神经网络的新收敛
本文采用非降阶方法,研究了一类具有时变时滞和无界连续分布时滞的惯性神经网络。基于微分不等式技术和Lyapunov函数方法,提出了一个新的充分条件,以确保寻址模型及其导数的所有解收敛于零向量,从而完善了一些先前的研究。此外,提供了一个数值示例来说明这些分析结论。