Open AccessImpulsive control strategy for the Mittag-Leffler synchronization of fractional-order neural networks with mixed bounded and unbounded delays
Author(s) -
Ivanka Stamova,
Gani Stamov
Publication year - 2020
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021138
Subject(s) - impulse (physics) , bounded function , mathematics , synchronization (alternating current) , control theory (sociology) , artificial neural network , fractional calculus , order (exchange) , stability (learning theory) , control (management) , computer science , topology (electrical circuits) , mathematical analysis , combinatorics , physics , artificial intelligence , quantum mechanics , finance , economics , machine learning
In this paper we apply an impulsive control method to keep the Mittag-Leffler stability properties for a class of Caputo fractional-order cellular neural networks with mixed bounded and unbounded delays. The impulsive controls are realized at fixed moments of time. Our results generalize some known criteria to the fractional-order case and provide a design method of impulsive control law for the impulse free fractional-order neural network model. Examples are presented to demonstrate the effectiveness of our results.