Finite-Time Mittag–Leffler Synchronization of Neutral-Type Fractional-Order Neural Networks with Leakage Delay and Time-Varying Delays

Călin-Adrian Popa and Eva Kaslik
Additional contact information
Călin-Adrian Popa: Department of Mathematics, West University of Timişoara, Blvd. V. Pârvan, No. 4, 300223 Timişoara, Romania
Eva Kaslik: Department of Computer Science, West University of Timişoara, Blvd. V. Pârvan, No. 4, 300223 Timişoara, Romania

Mathematics, 2020, vol. 8, issue 7, 1-17

Abstract: This paper studies fractional-order neural networks with neutral-type delay, leakage delay, and time-varying delays. A sufficient condition which ensures the finite-time synchronization of these networks based on a state feedback control scheme is deduced using the generalized Gronwall–Bellman inequality. Then, a different state feedback control scheme is employed to realize the finite-time Mittag–Leffler synchronization of these networks by using the fractional-order extension of the Lyapunov direct method for Mittag–Leffler stability. Two numerical examples illustrate the feasibility and the effectiveness of the deduced sufficient criteria.

Keywords: fractional-order neural networks; finite-time synchronization; neutral-type neural networks; leakage delay; Mittag–Leffler function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/7/1146/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/7/1146/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:8:y:2020:i:7:p:1146-:d:383826

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().