Master's Dissertation
DOI
https://doi.org/10.11606/D.45.2020.tde-31102019-125229
Document
Author
Full name
Bruno Borges de Souza
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2019
Supervisor
Committee
Tonelli, Pedro Aladar (President)
Oliveira, Edmundo Capelas de
Piqueira, José Roberto Castilho
Title in Portuguese
Estabilidade de Mittag-Leffler e aplicações às redes neurais de Hopfield fracionárias
Keywords in Portuguese
Cálculo fracionário
Estabilidade de Mittag-Leffler
Redes neurais
Abstract in Portuguese
Neste trabalho estudamos um critério para a estabilidade de Mittag-Leffler dos pontos de equilÃbrio de um sistema de equações diferenciais ordinárias com derivadas fracionárias de Caputo e Riemann-Liouville. Como um exemplo de aplicação, estudamos um critério para estabilidade assintótica dos pontos de equilÃbrio de uma rede neural de Hopfield fracionária.
Title in English
Mittag-Leffler stability and applications to fractional Hopfield neural networks
Keywords in English
Fractional calculus
Mittag-Leffler stability
Neural network
Abstract in English
In this work we shall study a criterion for the Mittag-Leffler stability of the equilibrium points of a system of ordinary differential equations with fractional derivatives of Caputo and Riemann- Liouville. As an example of application, we study a criterion for asymptotic stability of the equilibrium points of a fractional Hopfield neural networks.
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Publishing Date
2020-03-03