Novel results on global stability analysis for multiple time-delayed BAM neural networks under parameter uncertainties

N. Mohamed Thoiyab, P. Muruganantham, Quanxin Zhu and Nallappan Gunasekaran

Chaos, Solitons & Fractals, 2021, vol. 152, issue C

Abstract: This paper describes a new global robust stability analysis of bidirectional associative memory (BAM) neural networks. Under parameter uncertainty, we find a new upper bound on the norm of the weight matrix of the synaptic connection of time-delayed BAM neural networks. Our new upper bound provides a different kind of sufficient condition for the equilibrium point pertaining to the robust stability of BAM neural networks. Several classes of bounded activation functions are formulated. In addition, appropriate Lyapunov–Krasovskii functional (LKF) candidates are used in the process of deriving the new sufficient conditions for the BAM neural networks that are independent of the time delay parameters. We conduct some comparative studies with numerical examples to demonstrate the advantages of our findings over the stability results in terms of BAM neural network parameters.

Keywords: Bidirectional associative memory; Global robust asymptotic stability; Interval matrices; Lyapunov–Krasovskii functional; Multiple time delays; Parameter uncertainties (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077921007955
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921007955

DOI: 10.1016/j.chaos.2021.111441

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().