Chesi, D. and Colaneri, P. and Geromel, J.C. and Middleton, R. and Shorten, Robert N.
(2010)
Computing Upperbounds of the Minimum Dwell Time of Linear
Switched Systems via Homogeneous Polynomial Lyapunov Functions.
American Control Conference (ACC), Proceedings, 2010. ISBN 9781424474264 .
pp. 24872492.
ISSN 07431619
Abstract
This paper investigates the minimum dwell time
for switched linear systems. It is shown that a sequence of
upper bounds of the minimum dwell time can be computed
by exploiting homogeneous polynomial Lyapunov functions
and convex optimization problems based on linear matrix
inequalities (LMIs). This sequence is obtained by adopting
two possible representations of homogeneous polynomials, one
based on Kronecker products, and the other on the square
matrix representation (SMR). Some examples illustrate the
use and the potentialities of the proposed approach. It is also
conjectured that the proposed approach is asymptotically nonconservative,
i.e. the exact minimum dwell time is obtained by
using homogeneous polynomials with sufficiently large degree.
Item Type: 
Article

Additional Information: 
©2010 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE 
Keywords: 
Lyapunov methods; convex programming; linear matrix inequalities; polynomials; timevarying systems; 
Academic Unit: 
Faculty of Science and Engineering > Research Institutes > Hamilton Institute 
Item ID: 
2243 
Depositing User: 
Professor Rick Middleton

Date Deposited: 
10 Nov 2010 16:34 
Journal or Publication Title: 
American Control Conference (ACC), Proceedings, 2010. ISBN 9781424474264 
Publisher: 
IEEE 
Refereed: 
Yes 
Funders: 
Research Grants Council of Hong Kong (Grant HKU711208E), Science Foundation of Ireland (Research Grants 07/PI/I1828 and 07/IN.1/I901), onselho Nacional de Desenvolvimento Cient´ıfico e Tecnologico  CNPq, Brazil 
URI: 

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