Design and Practical Stability of a New Class of Impulsive Fractional-Like Neural Networks

Date

2020-03-15

Authors

Stamov, Gani
Stamova, Ivanka
Martynyuk, Anatoliy
Stamov, Trayan

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Abstract

In this paper, a new class of impulsive neural networks with fractional-like derivatives is defined, and the practical stability properties of the solutions are investigated. The stability analysis exploits a new type of Lyapunov-like functions and their derivatives. Furthermore, the obtained results are applied to a bidirectional associative memory (BAM) neural network model with fractional-like derivatives. Some new results for the introduced neural network models with uncertain values of the parameters are also obtained.

Description

Keywords

neural networks, fractional-like derivative, impulses, practical stability, h-manifolds

Citation

Entropy 22 (3): 337 (2020)

Department

Mathematics