脉冲分数阶投影神经网络的全局Mittag-Leffler稳定性
Global Mittag-Leffler stability of Fractional-Order Projection Neural Networks with Impulses
摘要：
本文研究了一类新的分数阶脉冲投影神经网络，该网络在同一框架下同时捕获了变分不等式和分数阶脉冲动力系统的期望特征.在较弱的条件下，我们得到了这类分数阶投影神经网络解的存在性和有界性。利用广义二次型李雅普诺夫函数，给出了分数阶投影神经网络平衡点全局Mittag-Leffler稳定的充分条件.最后，通过两个数值例子说明了主要结果的有效性和可行性.
英文摘要：
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.
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