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Proceedings Article, Paper


@InProceedings
Beitrag in Tagungsband, Workshop
Author, Editor
Author(s):
She, Zhikun
Xia, Bican
Xiao, Rong		dblp
dblp
dblp
Not MPG Author(s):
Xiao, Rong
Editor(s):
Kovalerchuk, B.dblp
Not MPII Editor(s):
Kovalerchuk, B.
BibTeX cite key*:
She2006b
Title, Booktitle
Title*:
A Semi-Algebraic Approach for the Computation of Lyapunov Functions
Booktitle*:
2th IASTED International Conference on COMPUTATIONAL INTELLIGENCE
Event, URLs
Conference URL::
Downloading URL:
Event Address*:
San Francisco, CA, USA
Language:
English
Event Date*
(no longer used):
Organization:
Event Start Date:
20 November 2006
Event End Date:
22 November 2006
Publisher
Name*:
ACTA Press
URL:
Address*:
Canada
Type:
Vol, No, Year, pp.
Series:
Volume:
Number:
Month:
Pages:
7-12
Year*:
2006
VG Wort Pages:
ISBN/ISSN:
0-88986-602-3
Sequence Number:
DOI:
Note, Abstract, ©
(LaTeX) Abstract:
In this paper we deal with the problem of computing Lya punov functions for stability verification of differential sys tems. We concern on symbolic methods and start the dis cussion with a classical quantifier elimination model for computing Lyapunov functions in a given polynomial form, especially in quadratic forms. Then we propose a new semi-algebraic method by making advantage of the local property of the Lyapunov function as well as its deriva tive. This is done by first using real solution classifica tion to construct a semi-algebraic system and then solving this semi-algebraic system. Our semi-algebraic approach is more efficient in practice, especially for low-order systems. This efficiency will be evaluated empirically.
URL for the Abstract:
http://www.actapress.com/PaperInfo.aspx?PaperID=29039
Keywords:
Autonomous systems, Lyapunov functions, asymptotic sta bility, semi-algebraic system, partial-CAD.
Download
Access Level:
Public

Correlation
MPG Unit:
Max-Planck-Institut für Informatik
MPG Subunit:
Programming Logics Group
Appearance:
MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat, CCL bibliography, VG Wort



BibTeX Entry:
@INPROCEEDINGS{She2006b,
AUTHOR = {She, Zhikun and Xia, Bican and Xiao, Rong},
 EDITOR = {Kovalerchuk, B.},
 TITLE = {A Semi-Algebraic Approach for the Computation of Lyapunov Functions},
 BOOKTITLE = {2th IASTED International Conference on COMPUTATIONAL INTELLIGENCE},
 PUBLISHER = {ACTA Press},
 YEAR = {2006},
 PAGES = {7--12},
 ADDRESS = {San Francisco, CA, USA},
 ISBN = {0-88986-602-3},
}

Entry last modified by Anja Becker, 02/26/2008
Hide details for Edit History (please click the blue arrow to see the details)Edit History (please click the blue arrow to see the details)

Editor(s)
Zhikun She		Created
11/22/2006 12:33:22 PM
Revisions
3.
2.
1.
0.
Editor(s)
Anja Becker
Christine Kiesel
Zhikun She
Zhikun She
Edit Dates
26.02.2008 11:04:59
17.02.2007 08:57:18
11/22/2006 12:34:08 PM
11/22/2006 12:33:22 PM