论文标题
与冲动的分数投影神经网络的全球Mittag-Leffler稳定性
Global Mittag-Leffler stability of Fractional-Order Projection Neural Networks with Impulses
论文作者
论文摘要
本文是关于研究新的分数投影神经网络的研究，这些神经网络具有冲动，这些神经网络捕获了同一框架内变异不等式和分数冲动动力学系统的所需特征。我们在轻度条件下获得了这种分数投影神经网络的解决方案的存在和界限。此外，我们提供了一些足够的条件，以确保通过利用一般的二次lyapunov函数来确保此类分数投影神经网络的平衡点的全局Mittag-Leffler稳定性。最后，我们提供了两个数值示例，以说明主要结果的有效性和可行性。
This paper is about the study of a new class of fractional-order projection neural networks with impulses which capture the desired features of both the variational inequality and the fractional-order impulsive dynamical systems within the same framework. We obtain the existence and boundedness of solutions for such fractional-order projection neural networks under mild conditions. Moreover, we give some sufficient conditions for ensuring the global Mittag-Leffler stability of the equilibrium point for such fractional-order projection neural networks by utilizing a general quadratic Lyapunov function. Finally, we provide two numerical examples to illustrate the validity and feasibility of the main results.
