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Description
  • Topological separation is investigated in the case of an uncertain time-invariant matrix interconnected with an implicit linear transformation. A quadratic separator independent of the uncertainty is shown to prove losslessly the closed-loop well-posedness. Several applications for LTI descriptor system analysis are then given. First, some known results for stability and pole location of descriptor systems are demonstrated in a new way. Second, contributions to robust stability analysis and time-delay systems stability analysis are exposed. These prove to be new even when compared to results for usual LTI systems (not in descriptor form). All results are formulated as linear matrix inequalities (LMIs).
  • Topological separation is investigated in the case of an uncertain time-invariant matrix interconnected with an implicit linear transformation. A quadratic separator independent of the uncertainty is shown to prove losslessly the closed-loop well-posedness. Several applications for LTI descriptor system analysis are then given. First, some known results for stability and pole location of descriptor systems are demonstrated in a new way. Second, contributions to robust stability analysis and time-delay systems stability analysis are exposed. These prove to be new even when compared to results for usual LTI systems (not in descriptor form). All results are formulated as linear matrix inequalities (LMIs). (en)
  • Topologická separace je zkoumána v případě na čase nezávislé invariantní neurčité matice, která je dána implicitní lineární transformací. Je ukázána bezeztrátová uzavřená korektnost pro kvadratický separátor nezávislý na neurčitosti. Je popsáno několik aplikací pro LTI analýzu deskriptorových systémů. Nejdříve jsou novým způsobem demonstrovány stabilita a poloha pólů deskriptorových systémů. Poté je věnována pozornost přínosu pro analýzu robustních systémů a analýzu stability systémů se zpožděním. Tento přístup je nový i ve srovnání s výsledky pro běžné LTI systémy (v nedeskriptorové formě). Všechny výsledky jsou formulovány jako lineární maticové nerovnosti (LMI). (cs)
Title
  • Quadratic Separation for Feedback Connection of an Uncertain Matrix and an Implicit Linear Transformation
  • Quadratic Separation for Feedback Connection of an Uncertain Matrix and an Implicit Linear Transformation (en)
  • Kvadratická separace pro zpětnou vazbu neurčité matice a implicitní lineární transformace (cs)
skos:prefLabel
  • Quadratic Separation for Feedback Connection of an Uncertain Matrix and an Implicit Linear Transformation
  • Quadratic Separation for Feedback Connection of an Uncertain Matrix and an Implicit Linear Transformation (en)
  • Kvadratická separace pro zpětnou vazbu neurčité matice a implicitní lineární transformace (cs)
skos:notation
  • RIV/68407700:21230/07:03130316!RIV08-GA0-21230___
http://linked.open.../vavai/riv/strany
  • 795;804
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA102/06/0652), P(ME 698)
http://linked.open...iv/cisloPeriodika
  • 3
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 446086
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21230/07:03130316
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Control; LMI (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [E9F77CB61E46]
http://linked.open...i/riv/nazevZdroje
  • Automatica
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 43
http://linked.open...iv/tvurceVysledku
  • Henrion, Didier
  • Arzelier, D.
  • Peaucelle, D.
  • Gouaisbaut, F.
issn
  • 0005-1098
number of pages
http://localhost/t...ganizacniJednotka
  • 21230
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