Stamov Gani, Stamova Ivanka, Martynyuk Anatoliy, Stamov Trayan
Department of Mathematics, Technical University of Sofia, 8800 Sliven, Bulgaria.
Department of Mathematics, University of Texas at San Antonio, San Antonio, TX 78249, USA.
Entropy (Basel). 2020 Mar 15;22(3):337. doi: 10.3390/e22030337.
In this paper, a new class of impulsive neural networks with fractional-like derivatives is defined, and the practical stability properties of the solutions are investigated. The stability analysis exploits a new type of Lyapunov-like functions and their derivatives. Furthermore, the obtained results are applied to a bidirectional associative memory (BAM) neural network model with fractional-like derivatives. Some new results for the introduced neural network models with uncertain values of the parameters are also obtained.
本文定义了一类新型的具有类分数阶导数的脉冲神经网络,并研究了解的实际稳定性。稳定性分析利用了一种新型的类李雅普诺夫函数及其导数。此外,所得结果应用于具有类分数阶导数的双向联想记忆(BAM)神经网络模型。还获得了关于所引入的参数值不确定的神经网络模型的一些新结果。