Domain-of-attraction estimation for uncertain non-polynomial systems

Min Wu; Zhengfeng Yang; Wang Lin

doi:10.1016/j.cnsns.2013.12.001

Domain-of-attraction estimation for uncertain non-polynomial systems

Min Wu
, Zhengfeng Yang
, Wang Lin^*

^*Corresponding author for this work

Software Engineering Institute

East China Normal University
Wenzhou University

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

14 Scopus citations

Abstract

In this paper, we consider the problem of computing estimates of the domain-of-attraction for non-polynomial systems. A polynomial approximation technique, based on multivariate polynomial interpolation and error analysis for remaining functions, is applied to compute an uncertain polynomial system, whose set of trajectories contains that of the original non-polynomial system. The efficiency of the presented method is illustrated by some numerical examples.

Original language	English
Pages (from-to)	3044-3052
Number of pages	9
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	19
Issue number	9
DOIs	https://doi.org/10.1016/j.cnsns.2013.12.001
State	Published - Sep 2014

Keywords

Domain-of-attraction
Non-polynomial systems
Polynomial approximation

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10.1016/j.cnsns.2013.12.001

Cite this

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title = "Domain-of-attraction estimation for uncertain non-polynomial systems",

abstract = "In this paper, we consider the problem of computing estimates of the domain-of-attraction for non-polynomial systems. A polynomial approximation technique, based on multivariate polynomial interpolation and error analysis for remaining functions, is applied to compute an uncertain polynomial system, whose set of trajectories contains that of the original non-polynomial system. The efficiency of the presented method is illustrated by some numerical examples.",

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AU - Wu, Min

AU - Yang, Zhengfeng

AU - Lin, Wang

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N2 - In this paper, we consider the problem of computing estimates of the domain-of-attraction for non-polynomial systems. A polynomial approximation technique, based on multivariate polynomial interpolation and error analysis for remaining functions, is applied to compute an uncertain polynomial system, whose set of trajectories contains that of the original non-polynomial system. The efficiency of the presented method is illustrated by some numerical examples.

AB - In this paper, we consider the problem of computing estimates of the domain-of-attraction for non-polynomial systems. A polynomial approximation technique, based on multivariate polynomial interpolation and error analysis for remaining functions, is applied to compute an uncertain polynomial system, whose set of trajectories contains that of the original non-polynomial system. The efficiency of the presented method is illustrated by some numerical examples.

KW - Domain-of-attraction

KW - Non-polynomial systems

KW - Polynomial approximation

UR - https://www.scopus.com/pages/publications/84897048526

U2 - 10.1016/j.cnsns.2013.12.001

DO - 10.1016/j.cnsns.2013.12.001

M3 - 文章

AN - SCOPUS:84897048526

SN - 1007-5704

VL - 19

SP - 3044

EP - 3052

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 9

ER -

Domain-of-attraction estimation for uncertain non-polynomial systems

Abstract

Keywords

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