Numerical algorithm for constructing Lyapunov functions of polynomial differential system

Xiao Lin Lin; Yao Lin Jiang

doi:10.1007/s12190-008-0128-2

Numerical algorithm for constructing Lyapunov functions of polynomial differential system

Xiao Lin Lin
, Yao Lin Jiang

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

In this paper, a numerical algorithm for constructing Laypunov functions of polynomial system is described. The algorithm is described for second-dimension system although extension to higher dimension systems would appear to be possible. Using the algorithm, we can obtain the estimation of asymptotic stability regions of nonlinear autonomous dynamical systems. Numerical examples further illustrate the theoretical work in this paper.

Original language	English
Pages (from-to)	247-262
Number of pages	16
Journal	Journal of Applied Mathematics and Computing
Volume	29
Issue number	1-2
DOIs	https://doi.org/10.1007/s12190-008-0128-2
State	Published - Jan 2009

Keywords

Asymptotic stability region
Lyapunov function
Numerical algorithm
Polynomial differential system

Access to Document

10.1007/s12190-008-0128-2

Cite this

@article{3e8c907a195040cab0f68fed448f839c,

title = "Numerical algorithm for constructing Lyapunov functions of polynomial differential system",

abstract = "In this paper, a numerical algorithm for constructing Laypunov functions of polynomial system is described. The algorithm is described for second-dimension system although extension to higher dimension systems would appear to be possible. Using the algorithm, we can obtain the estimation of asymptotic stability regions of nonlinear autonomous dynamical systems. Numerical examples further illustrate the theoretical work in this paper.",

keywords = "Asymptotic stability region, Lyapunov function, Numerical algorithm, Polynomial differential system",

author = "Lin, \{Xiao Lin\} and Jiang, \{Yao Lin\}",

year = "2009",

month = jan,

doi = "10.1007/s12190-008-0128-2",

language = "英语",

volume = "29",

pages = "247--262",

journal = "Journal of Applied Mathematics and Computing",

issn = "1598-5865",

publisher = "Springer Nature",

number = "1-2",

}

TY - JOUR

T1 - Numerical algorithm for constructing Lyapunov functions of polynomial differential system

AU - Lin, Xiao Lin

AU - Jiang, Yao Lin

PY - 2009/1

Y1 - 2009/1

N2 - In this paper, a numerical algorithm for constructing Laypunov functions of polynomial system is described. The algorithm is described for second-dimension system although extension to higher dimension systems would appear to be possible. Using the algorithm, we can obtain the estimation of asymptotic stability regions of nonlinear autonomous dynamical systems. Numerical examples further illustrate the theoretical work in this paper.

AB - In this paper, a numerical algorithm for constructing Laypunov functions of polynomial system is described. The algorithm is described for second-dimension system although extension to higher dimension systems would appear to be possible. Using the algorithm, we can obtain the estimation of asymptotic stability regions of nonlinear autonomous dynamical systems. Numerical examples further illustrate the theoretical work in this paper.

KW - Asymptotic stability region

KW - Lyapunov function

KW - Numerical algorithm

KW - Polynomial differential system

UR - https://www.scopus.com/pages/publications/58149473091

U2 - 10.1007/s12190-008-0128-2

DO - 10.1007/s12190-008-0128-2

M3 - 文章

AN - SCOPUS:58149473091

SN - 1598-5865

VL - 29

SP - 247

EP - 262

JO - Journal of Applied Mathematics and Computing

JF - Journal of Applied Mathematics and Computing

IS - 1-2

ER -

Numerical algorithm for constructing Lyapunov functions of polynomial differential system

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this