具有非瞬时脉冲、延迟和变连接权的离散神经网络的指数稳定性

International journal of pure and applied mathematics Pub Date : 2020-05-21 DOI:10.12732/ijam.v33i2.1

S. Hristova, K. Stefanova

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引用次数: 2

摘要

研究了单时滞非线性非瞬时脉冲差分方程的指数稳定性概念，并导出了若干判据。这些结果也适用于具有特定时刻切换拓扑和长时间持续脉冲的神经网络。它被认为是时变连接权的一般情况。定义了平衡态，研究了指数稳定性。算例说明了所得结果。学科分类:39A30、39A60

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EXPONENTIAL STABILITY OF DISCRETE NEURAL NETWORKS WITH NON-INSTANTANEOUS IMPULSES, DELAYS AND VARIABLE CONNECTION WEIGHTS WITH COMPUTER SIMULATION

The exponential stability concept for nonlinear non-instantaneous impulsive difference equations with a single delay is studied and some criteria are derived. These results are also applied for a neural networks with switching topology at certain moments and long time lasting impulses. It is considered the general case of time varying connection weights. The equilibrium is defined and exponential stability is studied. The obtained results are illustrated on examples. AMS Subject Classification: 39A30, 39A60

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International journal of pure and applied mathematics

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