Global Mittag-Leffler stability of Fractional-Order Projection Neural Networks with Impulses

2020/11/04 by Li, Jin-dong, Wu, Zeng-bao, Huang, Nan-jing
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2011.02189

Abstract

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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