DocumentCode
390957
Title
Computation of subsets of the domain of attraction for polynomial systems
Author
Tibken, Bernd ; Dilaver, Kamil Fatih
Author_Institution
Fac. of Electr. & Inf. Eng., Wuppertal Univ., Germany
Volume
3
fYear
2002
fDate
10-13 Dec. 2002
Firstpage
2651
Abstract
In this paper the asymptotic stability of polynomial nonlinear systems is investigated. Our aim is to determine a region in the state space, which is a subset of the domain of attraction. We use the Lyapunov stability theory and the theorem of Ehlich and Zeller to achieve this aim. The inequality conditions given by the theorem of Ehlich and Zeller enable us to calculate inner and outer approximations to the relevant region of attraction. Two nontrivial examples conclude the paper and show the effectiveness of the presented method.
Keywords
Lyapunov methods; approximation theory; polynomial approximation; stability; Lyapunov stability theory; asymptotic stability; domain of attraction; inner approximations; outer approximations; polynomial nonlinear systems; polynomial systems; Asymptotic stability; Control engineering; Lyapunov method; Nonlinear dynamical systems; Nonlinear systems; Polynomials; Robust control; Robust stability; State-space methods; Symmetric matrices;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7516-5
Type
conf
DOI
10.1109/CDC.2002.1184239
Filename
1184239
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