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Exponential stability of delayed neural networks with delayed sampled-data inputs: An extended bilateral looped functional approach.

Authors :
Chang, Fei
Li, Chuandong
Deng, Hao
Wu, Hongjuan
Huan, Mingchen
Source :
Journal of the Franklin Institute. Sep2023, Vol. 360 Issue 13, p9974-9995. 22p.
Publication Year :
2023

Abstract

In this paper, the exponential stability of delayed neural networks (DNNs) with delayed sampled-data inputs is investigated via extended bilateral looped functional approach. Firstly, a new extended bilateral looped functional is constructed, which is differentiable at sampling intervals and can relax the constraints on positive definiteness when compared to traditional functionals. Then, less conservative criteria for exponential stability of DNNs with delayed sampled-data inputs expressed through linear matrix inequalities (LMIs) are obtained. Furthermore, the results are extended to T–S fuzzy DNNs with delayed sampled-data inputs, where corresponding stability conditions are likewise derived. Finally, two simulation examples are given to illustrate the validity of the main results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00160032
Volume :
360
Issue :
13
Database :
Academic Search Index
Journal :
Journal of the Franklin Institute
Publication Type :
Periodical
Accession number :
171393348
Full Text :
https://doi.org/10.1016/j.jfranklin.2023.07.037