ABSTRACT

In this paper, we are interested in the finite time and fixed-time stabilisation of high order bidirectional associative memory neural networks (HOBAMNNs) with time delays and reaction–diffusion terms. Via the theory of topological degree, a set of sufficient conditions are obtained to guarantee the existence of the equilibrium point of HOBAMNNs. The finite time and fixed time stabilisation are introduced based on Lyapunov functional, new designing state feedback controllers and inequality techniques. At the end, some numerical simulations are carried out to support the theoretical results.

中文翻译：

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基于状态反馈控制器的带反应扩散项的高阶BAM的有限时间和固定时间稳定

摘要

在本文中，我们对具有时滞和反应扩散项的高阶双向联想记忆神经网络（HOBAMNN）的有限时间和固定时间稳定性感兴趣。通过拓扑度理论，获得了一组足以保证HOBAMNNs平衡点存在的条件。基于Lyapunov函数，新的设计状态反馈控制器和不等式技术，介绍了有限时间和固定时间的镇定。最后，进行了一些数值模拟以支持理论结果。