Abstract
We discuss the stability and synchronization of some neural network systems with more than one feature. They are of higher-order, of fractional order and also involving delays of neutral type. Each one of these features presents substantial difficulties to overcome. We prove stability and synchronization of Mittag-Leffler type. This rate is fairly reasonable in case of fractional order. This leads us to prove a neutral fractional version of the well-known Halanay inequality which is interesting by itself. Another feature of the present work is the treatment of unbounded activation functions. The condition of uniform boundedness of the activation functions was commonly used in the literature.
| Original language | English |
|---|---|
| Pages (from-to) | 443-458 |
| Number of pages | 16 |
| Journal | International Journal of Nonlinear Sciences and Numerical Simulation |
| Volume | 21 |
| Issue number | 5 |
| DOIs | |
| State | Published - 1 Aug 2020 |
Bibliographical note
Publisher Copyright:© 2020 Walter de Gruyter GmbH, Berlin/Boston 2020.
Keywords
- Caputo fractional derivative
- Halanay inequality
- Mittag-Leffler stability
- higher-order neural network system
- neutral delay
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Computational Mechanics
- Modeling and Simulation
- Engineering (miscellaneous)
- Mechanics of Materials
- General Physics and Astronomy
- Applied Mathematics