About: A method for determining the non-existence of a common quadratic Lyapunov function for switched linear systems based on particle swarm optimisation

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About: A method for determining the non-existence of a common quadratic Lyapunov function for switched linear systems based on particle swarm optimisation Goto Sponge NotDistinct Permalink

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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. 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. (en)
Title	A method for determining the non-existence of a common quadratic Lyapunov function for switched linear systems based on particle swarm optimisation A method for determining the non-existence of a common quadratic Lyapunov function for switched linear systems based on particle swarm optimisation (en)
skos:prefLabel	A method for determining the non-existence of a common quadratic Lyapunov function for switched linear systems based on particle swarm optimisation A method for determining the non-existence of a common quadratic Lyapunov function for switched linear systems based on particle swarm optimisation (en)
skos:notation	RIV/67985556:_____/12:00382169!RIV13-AV0-67985556
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GAP103/12/2431)
http://linked.open...iv/cisloPeriodika	11
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Zagalak, Petr
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	120296
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/12:00382169
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Switched linear systems; Lyapunov function; particle swarm optimization (en)
http://linked.open.../riv/klicoveSlovo	Lyapunov function Switched linear systems particle swarm optimization
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[5685E212947E]
http://linked.open...i/riv/nazevZdroje	International Journal of Systems Science
http://linked.open...in/vavai/riv/obor	BC
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Systems described by partial differential equations with delays
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	43
http://linked.open...iv/tvurceVysledku	Zagalak, Petr Duarte-Mermoud, M. A. Ordonez-Hurtado, R. H.
http://linked.open...ain/vavai/riv/wos	000309129000003
issn	0020-7721
number of pages	15 (xsd:int)
http://bibframe.org/vocab/doi	10.1080/00207721.2012.687787

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