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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

URL of the conference:


URL for downloading the paper:


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
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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
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