Globally β-Mittag-Leffler stability and β-Mittag-Leffler convergence in Lagrange sense for impulsive fractional-order complex-valued neural networks

Hui Li, Yonggui Kao and Hong-Li Li

Chaos, Solitons & Fractals, 2021, vol. 148, issue C

Abstract: This paper explores the globally β-Mittag-Leffler stability in Lagrange sense for the fractional-order complex-valued neural network (FOCVNN) with impulsive effects. By Lyapunov method and matrix inequalities, some novel sufficient conditions are obtained to guarantee the globally β-Mittag-Leffler stability in Lagrange sense for two class of complex-valued (CV) activation functions. The convergent rate is also given, which is controlled by the parameters of the addressed system. The existence and uniqueness of the solution for this system do not require consideration. To show the validity and usefulness of the results, two numerical stimulations are provided.

Keywords: Lagrange β-Mittag-Leffler stability; Caputo derivative; Impulsive effects; Complex-valued neural network; β-Mittag-Leffler convergence (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:148:y:2021:i:c:s096007792100415x

DOI: 10.1016/j.chaos.2021.111061

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