Abstract:
This paper is concerned with finite-time synchronization and finite-time \mathcal {H}_{\infty } synchronization for coupled neural networks with multiple state/derivati...Show MoreMetadata
Abstract:
This paper is concerned with finite-time synchronization and finite-time \mathcal {H}_{\infty } synchronization for coupled neural networks with multiple state/derivative couplings. Firstly, several sufficient conditions are developed to guarantee the finite-time synchronization for these two networks by using some inequality techniques. Secondly, based on the Lyapunov functional, finite-time \mathcal {H}_{\infty } synchronization problems for those two networks are respectively tackled. Thirdly, nonchattering controllers are designed to overcome the chattering phenomenon appearing in a finite-time controller with the sign function. Finally, two numerical examples are provided to illustrate the effectiveness and correctness of our results.
Published in: IEEE Transactions on Network Science and Engineering ( Volume: 10, Issue: 4, 01 July-Aug. 2023)
Funding Agency:
Australian AI Institute, Faculty of Engineering and Information Technology, University of Technology Sydney, Ultimo, NSW, Australia
Australian AI Institute, Faculty of Engineering and Information Technology, University of Technology Sydney, Ultimo, NSW, Australia
College of Mathematics and Econometrics, Hunan University, Changsha, China
School of Electronic Information and Electrical Engineering, Chengdu University, Chengdu, China
School of Electronic Information and Electrical Engineering, Chengdu University, Chengdu, China
School of Mathematics, China University of Mining and Technology, Xuzhou, China
Science Program, Texas A & M University at Qatar, Doha, Qatar
Australian AI Institute, Faculty of Engineering and Information Technology, University of Technology Sydney, Ultimo, NSW, Australia
Australian AI Institute, Faculty of Engineering and Information Technology, University of Technology Sydney, Ultimo, NSW, Australia
College of Mathematics and Econometrics, Hunan University, Changsha, China
School of Electronic Information and Electrical Engineering, Chengdu University, Chengdu, China
School of Electronic Information and Electrical Engineering, Chengdu University, Chengdu, China
School of Mathematics, China University of Mining and Technology, Xuzhou, China
Science Program, Texas A & M University at Qatar, Doha, Qatar