ABSTRACT

This paper is concerned with the finite-time anti-synchronisation problem of delayed Hopfield neural networks with discontinuous activations. By introducing a novel analytical method, new synchronisation criteria are established without the help of nonsmooth finite-time convergence theorem. The designed controllers herein are independent of time delay, and the established criteria depending on the time delay and system parameters are very simple to implement in practice and avoid complex computation, the upper-bound of the settling time is explicitly estimated as well. The new findings in this paper provide a new viewpoint for understanding the finite-time synchronization process of discontinuous neural networks. Finally, a numerical example is presented to support the effectiveness of the theoretical results.

摘要

本文关注具有不连续激活的延迟 Hopfield 神经网络的有限时间反同步问题。通过引入一种新的分析方法，在没有非光滑有限时间收敛定理的帮助下建立了新的同步标准。本文设计的控制器与时延无关，根据时延和系统参数建立的标准在实践中实现起来非常简单，避免了复杂的计算，稳定时间的上限也被明确估计。本文的新发现为理解不连续神经网络的有限时间同步过程提供了新的视角。最后，给出了一个数值例子来支持理论结果的有效性。