On the Stability with Respect to H-Manifolds for Cohen–Grossberg-Type Bidirectional Associative Memory Neural Networks with Variable Impulsive Perturbations and Time-Varying Delays

Gani Stamov, Ivanka Stamova, Stanislav Simeonov and Ivan Torlakov
Additional contact information
Gani Stamov: Department of Mathematics, Technical University of Sofia, 8800 Sliven, Bulgaria
Ivanka Stamova: Department of Mathematics, University of Texas at San Antonio, San Antonio, TX 78249, USA
Stanislav Simeonov: Department of Computer Systems and Technologies, Burgas “Prof. Dr. Assen Zlatarov” University, 8010 Burgas, Bulgaria
Ivan Torlakov: Department of Computer Systems and Technologies, Burgas “Prof. Dr. Assen Zlatarov” University, 8010 Burgas, Bulgaria

Mathematics, 2020, vol. 8, issue 3, 1-14

Abstract: The present paper is devoted to Bidirectional Associative Memory (BAM) Cohen–Grossberg-type impulsive neural networks with time-varying delays. Instead of impulsive discontinuities at fixed moments of time, we consider variable impulsive perturbations. The stability with respect to manifolds notion is introduced for the neural network model under consideration. By means of the Lyapunov function method sufficient conditions that guarantee the stability properties of solutions are established. Two examples are presented to show the validity of the proposed stability criteria.

Keywords: global exponential stability; h -manifolds; BAM Cohen–Grossberg neural networks; time-varying delays; variable impulsive perturbations (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:

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/3/335/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/3/335/ (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:3:p:335-:d:327815

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 ().