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Global Stability Analysis of Neural Networks with Constant Time Delay via Frobenius Norm

journal contribution
posted on 2020-01-01, 00:00 authored by N M Thoiyab, P Muruganantham, G Rajchakit, N Gunasekaran, B Unyong, U Humphries, P Kaewmesri, Chee Peng LimChee Peng Lim
This paper deals with the global asymptotic robust stability (GARS) of neural networks (NNs) with constant time delay via Frobenius norm. The Frobenius norm result has been utilized to find a new sufficient condition for the existence, uniqueness, and GARS of equilibrium point of the NNs. Some suitable Lyapunov functional and the slope bounded functions have been employed to find the new sufficient condition for GARS of NNs. Finally, we give some comparative study of numerical examples for explaining the advantageous of the proposed result along with the existing GARS results in terms of network parameters.

History

Journal

Mathematical Problems in Engineering

Volume

2020

Article number

4321312

Pagination

1 - 14

Publisher

Hindawi

Location

London, Eng.

ISSN

1024-123X

eISSN

1563-5147

Language

English

Publication classification

C1 Refereed article in a scholarly journal

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