Multistability of delayed fractional-order competitive neural networks. Academic Article

abstract

• This paper is concerned with the multistability of fractional-order competitive neural networks (FCNNs) with time-varying delays. Based on the division of state space, the equilibrium points (EPs) of FCNNs are given. Several sufficient conditions and criteria are proposed to ascertain the multiple O(t-α)-stability of delayed FCNNs. The O(t-α)-stability is the extension of Mittag-Leffler stability of fractional-order neural networks, which contains monostability and multistability. Moreover, the attraction basins of the stable EPs of FCNNs are estimated, which shows the attraction basins of the stable EPs can be larger than the divided subsets. These conditions and criteria supplement and improve the previous results. Finally, the results are illustrated by the simulation examples.

authors

• Huang, Tingwen

published proceedings

• Neural Netw

author list (cited authors)

• Zhang, F., Huang, T., Wu, Q., & Zeng, Z.

citation count

• 14

complete list of authors

• Zhang, Fanghai||Huang, Tingwen||Wu, Qiujie||Zeng, Zhigang

publication date

• August 2021

publisher

• Elsevier  Publisher

published in

• Neural Networks  Journal

keywords

• Attraction Basins
• Delays
• Fractional-order Competitive Neural Networks
• Multistability
• Neural Networks, Computer
• Time

PubMed Central ID

• 33895556

Digital Object Identifier (DOI)

• 10.1016/j.neunet.2021.03.036

start page

• 325

end page

• 335

volume

• 140

URL

• http://dx.doi.org/10.1016/j.neunet.2021.03.036