About: Positive trigonometric polynomials for strong stability of difference equations

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We follow a polynomial approach to analyse strong stability of continuous-time linear difference equations with several delays. Upon application of the Hermite stability criterion on the discretetime homogeneous characteristic polynomial, assessing strong stability amounts to deciding positive definiteness of a multivariate trigonometric polynomial matrix. This latter problem is addressed with a converging hierarchy of linear matrix inequalities (LMIs). Numerical experiments indicate that certificates of strong stability can be obtained at a reasonable computational cost for state dimension and number of delays not exceeding 4 or 5. We follow a polynomial approach to analyse strong stability of continuous-time linear difference equations with several delays. Upon application of the Hermite stability criterion on the discretetime homogeneous characteristic polynomial, assessing strong stability amounts to deciding positive definiteness of a multivariate trigonometric polynomial matrix. This latter problem is addressed with a converging hierarchy of linear matrix inequalities (LMIs). Numerical experiments indicate that certificates of strong stability can be obtained at a reasonable computational cost for state dimension and number of delays not exceeding 4 or 5. (en)
Title	Positive trigonometric polynomials for strong stability of difference equations Positive trigonometric polynomials for strong stability of difference equations (en)
skos:prefLabel	Positive trigonometric polynomials for strong stability of difference equations Positive trigonometric polynomials for strong stability of difference equations (en)
skos:notation	RIV/68407700:21230/12:00194285!RIV13-MSM-21230___
http://linked.open...avai/predkladatel	Fakulta elektrotechnická
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(1M0567), P(GAP103/10/0628), P(MEB020915)
http://linked.open...iv/cisloPeriodika	9
http://linked.open...vai/riv/dodaniDat	2013
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	159925
http://linked.open...ai/riv/idVysledku	RIV/68407700:21230/12:00194285
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Difference equations; Time-delay; Stability tests; Polynomial methods; Optimisation (en)
http://linked.open.../riv/klicoveSlovo	Optimisation Difference equations Stability tests Polynomial methods Time-delay
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[824B79DB97B5]
http://linked.open...i/riv/nazevZdroje	Automatica
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...vavai/riv/projekt	Centre for Applied Cybernetics Semidefinite programming for nonlinear dynamical systems Optimisation and algebraic geometry for time-delay control systems
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	48
http://linked.open...iv/tvurceVysledku	Henrion, Didier Vyhlídal, Tomáš
http://linked.open...ain/vavai/riv/wos	000308454100029
issn	0005-1098
number of pages	6 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.automatica.2012.06.021
http://localhost/t...ganizacniJednotka	21230
is http://linked.open...avai/riv/vysledek of	Positive trigonometric polynomials for strong stability of difference equations

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