Analysis and Stability Control of a Novel 5D Hyperchaotic System

Authors
Hong Niu*
College of Electronic Information and Automation, Tianjin University of Science & Technology, China
*Email: [email protected]; www.tust.edu.cn
Corresponding Author
Hong Niu
Received 25 October 2020, Accepted 26 August 2021, Available Online 27 December 2021.
DOI
https://doi.org/10.2991/jrnal.k.211108.003How to use a DOI?
Keywords
Novel 5D hyperchaotic system; hyperchaos control; Lyapunov stability theory; global asymptotic stability
Abstract
In this paper, a novel Five-Dimensional (5D) autonomous hyperchaotic system is presented, and the characteristics of the 5D system are given in brief. For stability control of the 5D hyperchaotic system, a linear feedback controller and its simplification are designed via the Lyapunov stability theory, so that the 5D system is no longer hyperchaotic but globally asymptotically converges to the equilibrium point at the origin. The numerical simulation results are given to illustrate the feasibility and effectiveness of the method.
Copyright
© 2021 The Author. Published by ALife Robotics Corp. Ltd.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).