当前位置: X-MOL 学术Acta Appl. Math. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Uniform Approximation of Impulsive Hopfield Cellular Neural Networks by Piecewise Constant Arguments on [ τ , ∞ ) $[\tau , \infty )$
Acta Applicandae Mathematicae ( IF 1.2 ) Pub Date : 2020-12-15 , DOI: 10.1007/s10440-020-00373-3
R. Torres , M. Pinto , S. Castillo , M. Kostić

In this paper we give a uniform approximation of a CNN-Hopfield type impulsive system by means of an IDEPCA approximating system. As a consequence of the uniform approximation, certain properties like boundedness are inherited. We also consider the analysis of a constant coefficients case. These results are novel in the impulsive differential equations frame. Examples are simulated, illustrating the effectiveness of our results.



中文翻译:

基于[τ,∞)$ [\ tau,\ infty)$的分段常数变元的脉冲Hopfield细胞神经网络的均匀逼近

在本文中,我们通过IDEPCA逼近系统给出CNN-Hopfield型脉冲系统的统一逼近。由于一致逼近的结果,继承了某些属性(如有界性)。我们还考虑对常数系数情况的分析。这些结果在脉冲微分方程框架中是新颖的。通过示例进行仿真,以说明我们的结果的有效性。

更新日期:2020-12-15
down
wechat
bug