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Proceedings Article, Paper


@InProceedings
Beitrag in Tagungsband, Workshop
Author, Editor
Author(s):
She, Zhikun
Ratschan, Stefan		dblp
dblp
Editor(s):
BibTeX cite key*:
She2005b
Title, Booktitle
Title*:
Providing a Basin of Attraction to a Target Region by Computation of Lyapunov-like Functions
Booktitle*:
4th IEEE International Conference on Computational Cybernetics
Event, URLs
Conference URL::
Downloading URL:
http://ieeexplore.ieee.org/iel5/4097647/4097648/04097666.pdf?tp=&isnumber=4097648&arnumber=4097666
Event Address*:
Tallinn, Estonia
Language:
English
Event Date*
(no longer used):
Organization:
Event Start Date:
20 August 2006
Event End Date:
22 August 2006
Publisher
Name*:
IEEE
URL:
http://www.ieee.org/
Address*:
MA, USA
Type:
Vol, No, Year, pp.
Series:
Volume:
Number:
Month:
August
Pages:
245-249
Year*:
2006
VG Wort Pages:
ISBN/ISSN:
1-4244-0072-4
Sequence Number:
DOI:
10.1109/ICCCYB.2006.305705
Note, Abstract, ©
(LaTeX) Abstract:
In this paper, we present a method for computing a basin of attraction to a target region for non-linear ordinary differential equations. This basin of attraction is ensured by a Lyapunov-like polynomial function that we compute using an interval based branch-and-relax algorithm. This algorithm relaxes the necessary conditions on the coefficients of the Lyapunov-like function to a system of linear interval inequalities that can then be solved exactly, and iteratively reduces the relaxation error by recursively decomposing the state space into hyper-rectangles. Tests on an implementation are promising.
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Access Level:
Public

Correlation
MPG Unit:
Max-Planck-Institut für Informatik
MPG Subunit:
Programming Logics Group
Audience:
Expert
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{She2005b,
AUTHOR = {She, Zhikun and Ratschan, Stefan},
 TITLE = {Providing a Basin of Attraction to a Target Region by Computation of Lyapunov-like Functions},
 BOOKTITLE = {4th IEEE International Conference on Computational Cybernetics},
 PUBLISHER = {IEEE},
 YEAR = {2006},
 PAGES = {245--249},
 ADDRESS = {Tallinn, Estonia},
 MONTH = {August},
 ISBN = {1-4244-0072-4},
 DOI = {10.1109/ICCCYB.2006.305705},
}

Entry last modified by Uwe Brahm, 01/28/2008
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Editor(s)
Zhikun She		Created
11/22/2006 12:30:22 PM
Revisions
13.
12.
11.
10.
9.		Editor(s)
Uwe Brahm
Uwe Brahm
Uwe Brahm
Christine Kiesel
Christine Kiesel		Edit Dates
2007-04-26 12:01:07
2007-04-26 11:36:11
2007-04-26 10:03:24
16.02.2007 23:44:45
11/22/2006 12:50:33 PM