About: Rank-one LMIs and Lyapunov's inequality.

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About: Rank-one LMIs and Lyapunov's inequality. Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We describe a new proof of the well-known Lyapunov's matrix inequality about the location of the eigenvalues of a matrix in some region of the complex plane. The proof makes use of standard facts from quadratic and semidefinite programming. Links are established between the Lyapunov matrix, rank-one linear matrix inequalities (LMIs), and the Lagrange multiplier arising in duality theory. We describe a new proof of the well-known Lyapunov's matrix inequality about the location of the eigenvalues of a matrix in some region of the complex plane. The proof makes use of standard facts from quadratic and semidefinite programming. Links are established between the Lyapunov matrix, rank-one linear matrix inequalities (LMIs), and the Lagrange multiplier arising in duality theory. (en)
Title	Rank-one LMIs and Lyapunov's inequality. Rank-one LMIs and Lyapunov's inequality. (en)
skos:prefLabel	Rank-one LMIs and Lyapunov's inequality. Rank-one LMIs and Lyapunov's inequality. (en)
skos:notation	RIV/67985556:_____/01:16010077!RIV/2003/AV0/A16003/N
http://linked.open.../vavai/riv/strany	1285;1288
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(AV0Z1075907)
http://linked.open...iv/cisloPeriodika	8
http://linked.open...vai/riv/dodaniDat	2003
http://linked.open...aciTvurceVysledku	Henrion, Didier
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	693949
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/01:16010077
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	linear matrix inequalities (LMIs); linear systems; optimization (en)
http://linked.open.../riv/klicoveSlovo	optimization linear systems linear matrix inequalities (LMIs)
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[C67B80858453]
http://linked.open...i/riv/nazevZdroje	IEEE Transactions on Automatic Control
http://linked.open...in/vavai/riv/obor	BC
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...ocetUcastnikuAkce	0 (xsd:int)
http://linked.open...nichUcastnikuAkce	0 (xsd:int)
http://linked.open...UplatneniVysledku	2001
http://linked.open...v/svazekPeriodika	46
http://linked.open...iv/tvurceVysledku	Henrion, Didier Meinsma, G.
http://linked.open...n/vavai/riv/zamer	Uncertainty methods in theoretical cybernetics: system identification, information processing, decision-making, and control
issn	0018-9286
number of pages	4 (xsd:int)

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