What is the most suitable Lyapunov function?

doi:10.1016/j.chaos.2021.111154

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	What is the most suitable Lyapunov function?
	Zhou, Ping 1; Hu, Xikui 1; Zhu, Zhigang 2; Ma, Jun 1,2
刊名	CHAOS SOLITONS & FRACTALS
	2021-09
卷号	150
关键词	Hamilton energy Lyapunov function Chaos Stability control Neuron
ISSN号	0960-0779
DOI	10.1016/j.chaos.2021.111154
英文摘要	Lyapunov function provides feasible estimation and prediction of nonlinear system stability, and useful guidance for adaptive control in chaos and synchronization approach. In case of synchronization and con-trol of chaotic systems, the involvement of adjustable gains in the Lyapunov function can be effective to optimize the convergence of orbits to stability and controllers within finite transient period. As a result, shorter transient period and lower power consumption can be approached by detecting the most suitable gains in the controllers and parameter observers. In this paper, we claim that the most suitable Lyapunov function can be the Hamilton energy for chaotic systems and more nonlinear dynamical systems, and so the parameter region for stability and controllability can be detected exactly, in addition, the reliability of controllers can be confirmed in practical way. Furthermore, the Lorenz and improved Chua oscillators in chaotic states are presented to confirm the dependence of Hamilton energy and stability on the in-trinsic parameters and variables. It indicates that control of energy flow can be an effective scheme to control chaos in nonlinear systems and synchronization realization between chaotic systems, neurons and networks. (c) 2021 Elsevier Ltd. All rights reserved.
WOS研究方向	Mathematics ; Physics
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000687258300017
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/148766]
专题	理学院
作者单位	1.Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing 430065, Peoples R China; 2.Lanzhou Univ Technol, Dept Phys, Lanzhou 730050, Peoples R China
推荐引用方式 GB/T 7714	Zhou, Ping,Hu, Xikui,Zhu, Zhigang,et al. What is the most suitable Lyapunov function?[J]. CHAOS SOLITONS & FRACTALS,2021,150.
APA	Zhou, Ping,Hu, Xikui,Zhu, Zhigang,&Ma, Jun.(2021).What is the most suitable Lyapunov function?.CHAOS SOLITONS & FRACTALS,150.
MLA	Zhou, Ping,et al."What is the most suitable Lyapunov function?".CHAOS SOLITONS & FRACTALS 150(2021).