Analysis and control of the fractional chaotic Hopfield neural network

Advances in Difference Equations

article

Mahmoud, Emad E.¹  Jahanzaib, Lone Seth¹  Trikha, Pushali¹  Almaghrabi, Omar A.³ 

[1] Department of Mathematics and Statistics, College of Science, Taif University;Department of Mathematics, Faculty of Science, Sohag University;Department of Biology, College of Science, University of Jeddah

关键词: Analysis;    Sliding mode;    Fractional Hopfield neural network;    Control;   

DOI  :  10.1186/s13662-021-03285-0

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

The fractional Hopfield neural network (HNN) model is studied here analyzing its symmetry, uniqueness of the solution, dissipativity, fixed points etc. A Lyapunov and bifurcation analysis of the system is done for specific as well as variable fractional order. Since a very long time ago, HNN has been carefully studied and applied in various fields. Because of the exceptional non-linearity of the neuron activation function, the HNN system is stoutly non-linear. Chaos control using adaptive SMC considering disturbances and uncertainties is done about randomly chosen points by designing suitable controllers. Numerical simulations performed in MATLAB verify the efficacy of the designed controllers.

【 授权许可】

CC BY