A method for determining the non-existence of a common quadratic Lyapunov function for switched linear systems based on particle swarm optimisation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F12%3A00382169" target="_blank" >RIV/67985556:_____/12:00382169 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1080/00207721.2012.687787" target="_blank" >http://dx.doi.org/10.1080/00207721.2012.687787</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/00207721.2012.687787" target="_blank" >10.1080/00207721.2012.687787</a>
Alternative languages
Result language
angličtina
Original language name
A method for determining the non-existence of a common quadratic Lyapunov function for switched linear systems based on particle swarm optimisation
Original language description
The existence of a common quadratic Lyapunov function (CQLF) for a switched linear system guarantees its global asymptotic stability. Even if progress in finding the conditions for the existence/non-existence of a CQLF is significant, especially in switched linear systems consisting of N second-order systems or two systems of order n, the general case of N systems of order n still remains open. In this article, a sufficient condition for the non- existence of a CQLF for N systems of order n is derived.Based on the condition, a new method for determining the non-existence of a CQLF, using particle swarm optimisation, was designed and is described. Examples illustrating the proposed method are introduced at the end of this article.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BC - Theory and management systems
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GAP103%2F12%2F2431" target="_blank" >GAP103/12/2431: Systems described by partial differential equations with delays</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Systems Science
ISSN
0020-7721
e-ISSN
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Volume of the periodical
43
Issue of the periodical within the volume
11
Country of publishing house
GB - UNITED KINGDOM
Number of pages
15
Pages from-to
2015-2029
UT code for WoS article
000309129000003
EID of the result in the Scopus database
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