Finite-/fixed-time synchronization of delayed Clifford-valued recurrent neural networks

Advances in Difference Equations

article

Boonsatit, N.¹  Rajchakit, G.²  Sriraman, R.³  Lim, C. P.⁴  Agarwal, P.⁵ 

[1] Department of Mathematics, Rajamangala University of Technology Suvarnabhumi;Department of Mathematics, Faculty of Science, Maejo University;Department of Mathematics, Thiruvalluvar University;Institute for Intelligent Systems Research and Innovation, Deakin University;Department of Mathematics, Anand International College of Engineering

关键词: Clifford-valued neural network;    Synchronization;    Finite-time;    Fixed-time;    Lyapunov–Krasovskii functional;   

DOI  :  10.1186/s13662-021-03438-1

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

This paper investigates the problem of finite-/fixed-time synchronization for Clifford-valued recurrent neural networks with time-varying delays. The considered Clifford-valued drive and response system models are firstly decomposed into real-valued drive and response system models in order to overcome the difficulty of the noncommutativity of the multiplication of Clifford numbers. Then, suitable time-delayed feedback controllers are devised to investigate the synchronization problem in finite-/fixed-time of error system. On the basis of new Lyapunov–Krasovskii functional and new computational techniques, finite-/fixed-time synchronization criteria are formulated for the corresponding real-valued drive and response system models. Two numerical examples demonstrate the effectiveness of the theoretical results.

【 授权许可】

CC BY