Creator:

Huo, Nina ; Li, Bing ; Li, Yongkun

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

Anti-periodic solutions for Clifford-valued high-order Hopfield neural networks with state-dependent and leakage delays

Group publication title:

AMCS, volume 30 (2020)

Subject and Keywords:

Clifford-valued high-order Hopfield neural network ; anti-periodic solution ; coincidence degree ; time-varying delays

Abstract:

A class of Clifford-valued high-order Hopfield neural networks (HHNNs) with state-dependent and leakage delays is considered. First, by using a continuation theorem of coincidence degree theory and the Wirtinger inequality, we obtain the existence of anti-periodic solutions of the networks considered. Then, by using the proof by contradiction, we obtain the global exponential stability of the anti-periodic solutions. Finally, two numerical examples are given to illustrate the feasibility of our results.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2020

Resource Type:

artykuł

DOI:

10.34768/amcs-2020-0007

Pages:

83-98

Source:

AMCS, volume 30, number 1 (2020) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego