About: Robust Root-Clustering of a Matrix in Intersections or Unions of Regions

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	This paper considers robust stability analysis for a matrix affected by unstructured complex uncertainty. A method is proposed to compute a bound on the amount of uncertainty ensuring robust root-clustering in a combination (intersection and/or union) of several possibly nonsymmetric half planes, discs, and outsides of discs. In some cases to be detailed, this bound is not conservative. The conditions are expressed in terms of linear matrix inequalities (LMIs) and derived through Lyapunov's second method. As a distinctive feature of the approach, the Lyapunov matrices proving robust root-clustering (one per subregion) are not necessarily positive definite but have prescribed inertias depending on the number of roots in the corresponding subregions. This paper considers robust stability analysis for a matrix affected by unstructured complex uncertainty. A method is proposed to compute a bound on the amount of uncertainty ensuring robust root-clustering in a combination (intersection and/or union) of several possibly nonsymmetric half planes, discs, and outsides of discs. In some cases to be detailed, this bound is not conservative. The conditions are expressed in terms of linear matrix inequalities (LMIs) and derived through Lyapunov's second method. As a distinctive feature of the approach, the Lyapunov matrices proving robust root-clustering (one per subregion) are not necessarily positive definite but have prescribed inertias depending on the number of roots in the corresponding subregions. (en)
Title	Robust Root-Clustering of a Matrix in Intersections or Unions of Regions Robust Root-Clustering of a Matrix in Intersections or Unions of Regions (en)
skos:prefLabel	Robust Root-Clustering of a Matrix in Intersections or Unions of Regions Robust Root-Clustering of a Matrix in Intersections or Unions of Regions (en)
skos:notation	RIV/68407700:21230/04:00101427!RIV12-MSM-21230___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(ME 698)
http://linked.open...iv/cisloPeriodika	3
http://linked.open...vai/riv/dodaniDat	2012
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	České vysoké učení technické v Praze / Fakulta elektrotechnická
http://linked.open...dnocenehoVysledku	584864
http://linked.open...ai/riv/idVysledku	RIV/68407700:21230/04:00101427
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	D-stability radius; LMIs; inertia of a matrix; matrix root-clustering; robust stability analysis; unstructured uncertainty (en)
http://linked.open.../riv/klicoveSlovo	robust stability analysis unstructured uncertainty LMIs D-stability radius inertia of a matrix matrix root-clustering
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[F642F73F41B2]
http://linked.open...i/riv/nazevZdroje	SIAM Journal on Control and Optimization
http://linked.open...in/vavai/riv/obor	BC
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	http://linked.opendata.cz/resource/domain/vavai/projekt/ME%20698
http://linked.open...UplatneniVysledku	2004
http://linked.open...v/svazekPeriodika	43
http://linked.open...iv/tvurceVysledku	Henrion, Didier Bachelier, O. Mehdi, D. Pradin, B.
http://linked.open...ain/vavai/riv/wos	000225642700016
issn	0363-0129
number of pages	16 (xsd:int)
http://bibframe.org/vocab/doi	10.1137/S0363012903432365
http://localhost/t...ganizacniJednotka	21230

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