This HTML5 document contains 42 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
dctermshttp://purl.org/dc/terms/
n10http://localhost/temp/predkladatel/
n14http://linked.opendata.cz/resource/domain/vavai/riv/tvurce/
n8http://linked.opendata.cz/resource/domain/vavai/projekt/
n18http://linked.opendata.cz/ontology/domain/vavai/
n17https://schema.org/
n5http://linked.opendata.cz/ontology/domain/vavai/riv/kodPristupu/
skoshttp://www.w3.org/2004/02/skos/core#
n3http://linked.opendata.cz/ontology/domain/vavai/riv/
n11http://linked.opendata.cz/resource/domain/vavai/vysledek/RIV%2F68407700%3A21230%2F04%3A03106388%21RIV%2F2005%2FGA0%2F212305%2FN/
n2http://linked.opendata.cz/resource/domain/vavai/vysledek/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
n15http://linked.opendata.cz/ontology/domain/vavai/riv/klicoveSlovo/
n19http://linked.opendata.cz/ontology/domain/vavai/riv/duvernostUdaju/
xsdhhttp://www.w3.org/2001/XMLSchema#
n13http://linked.opendata.cz/ontology/domain/vavai/riv/jazykVysledku/
n7http://linked.opendata.cz/ontology/domain/vavai/riv/aktivita/
n16http://linked.opendata.cz/ontology/domain/vavai/riv/obor/
n12http://linked.opendata.cz/ontology/domain/vavai/riv/druhVysledku/
n9http://reference.data.gov.uk/id/gregorian-year/

Statements

Subject Item
n2:RIV%2F68407700%3A21230%2F04%3A03106388%21RIV%2F2005%2FGA0%2F212305%2FN
rdf:type
skos:Concept n18:Vysledek
dcterms:description
For a linear system affected by real parametric uncertainty, this paper focuses on robust stability analysis via quadratic-in-the-state Lyapunov functions polynomially dependent on the parameters. The contribution is twofold. First, if n denotes the system order and m the number of parameters, it is shown that it is enough to seek a parameterdependent Lyapunov function of given degree 2nm in the parameters. Second, it is shown that robust stability can be assessed by globally minimizing a multivariate scalar polynomial related with this Lyapunov matrix. A hierarchy of LMI relaxations is proposed to solve this problem numerically, yielding simultaneously upper and lower bounds on the global minimum with guarantee of asymptotic convergence. Není k dispozici For a linear system affected by real parametric uncertainty, this paper focuses on robust stability analysis via quadratic-in-the-state Lyapunov functions polynomially dependent on the parameters. The contribution is twofold. First, if n denotes the system order and m the number of parameters, it is shown that it is enough to seek a parameterdependent Lyapunov function of given degree 2nm in the parameters. Second, it is shown that robust stability can be assessed by globally minimizing a multivariate scalar polynomial related with this Lyapunov matrix. A hierarchy of LMI relaxations is proposed to solve this problem numerically, yielding simultaneously upper and lower bounds on the global minimum with guarantee of asymptotic convergence.
dcterms:title
On parameter-dependent Lyapunov functions for robust stability of linear systems On parameter-dependent Lyapunov functions for robust stability of linear systems Není k dispozici
skos:prefLabel
On parameter-dependent Lyapunov functions for robust stability of linear systems Není k dispozici On parameter-dependent Lyapunov functions for robust stability of linear systems
skos:notation
RIV/68407700:21230/04:03106388!RIV/2005/GA0/212305/N
n3:aktivita
n7:P
n3:aktivity
P(GA102/02/0709), P(ME 698)
n3:dodaniDat
n9:2005
n3:domaciTvurceVysledku
n14:9676708
n3:druhVysledku
n12:A
n3:duvernostUdaju
n19:S
n3:entitaPredkladatele
n11:predkladatel
n3:idSjednocenehoVysledku
577780
n3:idVysledku
RIV/68407700:21230/04:03106388
n3:jazykVysledku
n13:eng
n3:klicovaSlova
Lyapunov functions; linear systems; robust stability
n3:klicoveSlovo
n15:Lyapunov%20functions n15:robust%20stability n15:linear%20systems
n3:kodPristupu
n5:L
n3:kontrolniKodProRIV
[AFE4552D9E54]
n3:mistoVydani
New York
n3:nosic
neuvedeno
n3:obor
n16:BC
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
4
n3:projekt
n8:GA102%2F02%2F0709 n8:ME%20698
n3:rokUplatneniVysledku
n9:2004
n3:tvurceVysledku
Lasserre, J.-B. Paucelle, D. Henrion, Didier Arzelier, D.
n17:isbn
0-7803-8683-3
n10:organizacniJednotka
21230