ABSTRACT In this paper, a class of generalised inertial competitive neural networks with time-varying delays is proposed. The existence and global exponential stability of anti-periodic solutions for this class of neural networks are investigated. By using a continuation theorem of coincidence degree theory, the Wirtinger inequality and constructing an appropriate Lyapunov function, some sufficient conditions are derived to guarantee the existence, uniqueness, and global exponential stability of anti-periodic solutions for the considered networks. Our results are completely new.

中文翻译：

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时变时滞广义惯性竞争神经网络反周期解的存在性和全局指数稳定性

摘要 在本文中，提出了一类具有时变延迟的广义惯性竞争神经网络。研究了这类神经网络反周期解的存在性和全局指数稳定性。通过使用重合度理论的连续定理、Wirtinger 不等式和构造合适的Lyapunov 函数，推导出一些充分条件来保证所考虑网络的反周期解的存在性、唯一性和全局指数稳定性。我们的结果是全新的。