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Author, Editor

Author(s):

She, Zhikun
Ratschan, Stefan

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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

URL of the conference:


URL for downloading the paper:

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.
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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
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