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Fixed‐time synchronization and energy cost estimation of delayed coupled neural networks.

Authors :
Xu, Zhenyu
Zhu, Song
Luo, Weiwei
Liu, Xiaoyang
Wen, Shiping
Source :
International Journal of Robust & Nonlinear Control. Apr2024, Vol. 34 Issue 6, p4064-4078. 15p.
Publication Year :
2024

Abstract

This article concentrates on the fixed‐time synchronization (FTS) and energy cost (EC) problems of delayed coupled neural networks (NNs). A switching controller is proposed and some sufficient conditions are advanced to ensure FTS of delayed coupled NNs based on the comparison theorem. Following that, the required EC is estimated during the control process. The main results of FTS and EC for considered NNs are obtained based on the Lyapunov functions in the sense of vector 1‐norm, 2‐norm, and ∞$$ \infty $$‐norm, respectively. Under the same controller parameters, this article shows that the minimum estimation of settling time and EC are sometimes not in one norm sense. Finally, numerical examples are given to show the effectiveness of theoretical results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10498923
Volume :
34
Issue :
6
Database :
Academic Search Index
Journal :
International Journal of Robust & Nonlinear Control
Publication Type :
Academic Journal
Accession number :
175853254
Full Text :
https://doi.org/10.1002/rnc.7178