Abstract The paper considers the stability of coupled impulsive neural networks with time-varying delays and saturating actuators in finite time. Based on a delayed state feedback controller, the stability of coupled impulsive neural networks with time-varying delays and saturating actuators can be achieved in finite time. Combined with Lyapunov-based finite-time stability theory, some sufficient conditions are obtained to ensure the stability of coupled impulsive neural networks with time-varying delays and saturating actuators in finite time by using polytopic representation approach and sector nonlinearity model approach, respectively. Moreover, the setting time of coupled impulsive neural networks with saturating actuators is given, and it is found to be related to both the initial state and impulse effect. Furthermore, as special cases, some finite-time stability results of coupled impulsive neural networks with saturating actuators are given under a memoryless controller. Finally, two simulation examples are used to test the effectiveness of the obtained results.

中文翻译：

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具有时变延迟和饱和执行器的耦合脉冲神经网络的有限时间稳定性

摘要 本文考虑了具有时变延迟和饱和执行器在有限时间内的耦合脉冲神经网络的稳定性。基于延迟状态反馈控制器，可以在有限时间内实现具有时变延迟和饱和执行器的耦合脉冲神经网络的稳定性。结合基于李雅普诺夫的有限时间稳定性理论，分别采用多面表示法和扇形非线性模型法，得到了保证时变时滞和致动器饱和耦合脉冲神经网络在有限时间内稳定的一些充分条件。此外，给出了具有饱和执行器的耦合脉冲神经网络的设置时间，发现它与初始状态和脉冲效应有关。此外，作为特殊情况，在无记忆控制器下给出了具有饱和执行器的耦合脉冲神经网络的一些有限时间稳定性结果。最后，通过两个仿真实例来测试所得结果的有效性。