This paper introduces the stability problems of Cohen–Grossberg type BAM neural network (BAMCGNN) with piecewise constant argument (PCA). By employing the homeomorphism theory, sufficient conditions for the existence and uniqueness of the equilibrium point are obtained; using inequality technique and Lyapunov method, sufficient stability criteria for BAMCGNN with PCA are presented. Finally, a numerical case shows the significance of the results of this paper.

中文翻译：

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具有分段常数参数的Cohen-Grossberg型BAM神经网络的稳定性分析

本文介绍了带有分段常数参数（PCA）的Cohen-Grossberg型BAM神经网络（BAMCGNN）的稳定性问题。利用同胚理论，得到了平衡点存在唯一的充分条件；使用不等式技术和 Lyapunov 方法，提出了带有 PCA 的 BAMCGNN 的足够稳定性准则。最后通过数值算例说明了本文结果的意义。