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

Author:

Xu Zhenyu1ORCID,Zhu Song12,Luo Weiwei12,Liu Xiaoyang3ORCID,Wen Shiping45

Affiliation:

1. School of Mathematics China University of Mining and Technology Xuzhou Jiangsu China

2. Jiangsu Center for Applied Mathematics (CUMT) Xuzhou Jiangsu China

3. School of Computer Science and Technology Jiangsu Normal University Xuzhou Jiangsu China

4. Australian AI Institute University of Technology Sydney Sydney New South Wales Australia

5. Faculty of Engineering and Information Technology University of Technology Sydney Sydney New South Wales Australia

Abstract

AbstractThis 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 ‐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.

Funder

National Natural Science Foundation of China

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Mechanical Engineering,Aerospace Engineering,Biomedical Engineering,General Chemical Engineering,Control and Systems Engineering

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