Finite-Time Stabilization of Neutral Hopfield Neural Networks with Mixed Delays

In this article, we investigate the problem of finite time stabilization (FTS) of neutral Hopfield neural networks (NHNNs) with mixed delays including infinite distributed time delays. Firstly, general conditions on the control law are established to ensure the FTS of a neutral class of NN investigated here. Then, some specific conditions in the form of linear matrix inequalities which can be numerically checked are derived by constructing different kinds of controllers which include the delay-dependent and delay-free controller. Secondly, for practical applications, based on the Lyapunov–Krasovskii-functional analysis, we design a continuous controller able to stabilize in finite time the NHNNs and overcome the chattering phenomena simultaneously. Thirdly, the restriction of the boundedness of activation functions is removed. Finally, three numerical examples accompanied by graphical illustrations are given to illuminate our main results.