What is the most suitable Lyapunov function?

doi:10.1016/j.chaos.2021.111154

IR > 理学院

	What is the most suitable Lyapunov function?
	Zhou, Ping 1; Hu, Xikui 1; Zhu, Zhigang2 ; Ma, Jun1,2
	2021-09
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	150
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.
关键词	Hamilton energy Lyapunov function Chaos Stability control Neuron
DOI	10.1016/j.chaos.2021.111154
收录类别	EI ; SCOPUS ; SCIE
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000687258300017
出版者	PERGAMON-ELSEVIER SCIENCE LTD
EI入藏号	20212810622445
EI主题词	Lyapunov functions
EI分类号	431.5 Air Navigation and Traffic Control - 461.9 Biology - 731.1 Control Systems - 732.1 Control Equipment - 921 Mathematics - 961 Systems Science
来源库	WOS
引用统计	被引频次：45[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/148766
专题	理学院
通讯作者	Ma, Jun
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
第一作者单位	理学院
通讯作者单位	理学院
第一作者的第一单位	理学院
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).