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

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 result...

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Veröffentlicht in:Entropy (Basel, Switzerland) Switzerland), 2020-03, Vol.22 (3), p.337
Hauptverfasser: Stamov, Gani, Stamova, Ivanka, Martynyuk, Anatoliy, Stamov, Trayan
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Sprache:eng
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Zusammenfassung: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.
ISSN:1099-4300
1099-4300
DOI:10.3390/e22030337