lim-globalstabilityanalysis-2020.pdf (419.83 kB)
Global stability analysis of fractional-order quaternion-valued bidirectional associative memory neural networks
journal contribution
posted on 2020-05-01, 00:00 authored by U Humphries, G Rajchakit, P Kaewmesri, P Chanthorn, R Sriraman, R Samidurai, Chee Peng LimChee Peng LimWe study the global asymptotic stability problem with respect to the fractional-order quaternion-valued bidirectional associative memory neural network (FQVBAMNN) models in this paper. Whether the real and imaginary parts of quaternion-valued activation functions are expressed implicitly or explicitly, they are considered to meet the global Lipschitz condition in the quaternion field. New sufficient conditions are derived by applying the principle of homeomorphism, Lyapunov fractional-order method and linear matrix inequality (LMI) approach for the two cases of activation functions. The results confirm the existence, uniqueness and global asymptotic stability of the system’s equilibrium point. Finally, two numerical examples with their simulation results are provided to show the effectiveness of the obtained results.
History
Journal
MathematicsVolume
8Issue
5Article number
801Pagination
1 - 27Publisher
MDPI AGLocation
Basel, SwitzerlandPublisher DOI
Link to full text
eISSN
2227-7390Language
engPublication classification
C1 Refereed article in a scholarly journalUsage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC