FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3199647981> ?p ?o ?g. }

• W3199647981 abstract "Abstract The bounded real lemma (BRL) is a classical result in systems theory, which provides a linear matrix inequality criterium for dissipativity, via the Kalman-Yakubovich-Popov (KYP) inequality. The BRL has many applications, among others in $$H^infty $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msup> <mml:mi>H</mml:mi> <mml:mi>∞</mml:mi> </mml:msup> </mml:math> control. Extensions to infinite dimensional systems, although already present in the work of Yakubovich, have only been studied systematically in the last few decades. In this context various notions of stability, observability and controllability exist, and depending on the hypothesis one may have to allow the KYP-inequality to have unbounded solutions which forces one to consider the KYP-inequality in a spatial form. In the present paper we consider the BRL for continuous time, infinite dimensional, linear well-posed systems. Via an adaptation of Willems’ storage function approach we present a unified way to address both the standard and strict forms of the BRL. We avoid making use of the Cayley transform and work only in continuous time. While for the standard bounded real lemma, we obtain analogous results as there exist for the discrete time case, when treating the strict case additional conditions are required, at least at this stage. This might be caused by the fact that the Cayley transform does not preserve exponential stability, an important property in the strict case, when transferring a continuous-time system to a discrete-time system." @default.
• W3199647981 created "2021-09-27" @default.
• W3199647981 creator A5010093096 @default.
• W3199647981 creator A5052670621 @default.
• W3199647981 creator A5081427672 @default.
• W3199647981 date "2022-07-24" @default.
• W3199647981 modified "2023-10-09" @default.
• W3199647981 title "The Infinite-Dimensional Standard and Strict Bounded Real Lemmas in Continuous Time: The Storage Function Approach" @default.
• W3199647981 cites W1504222318 @default.
• W3199647981 cites W1968122135 @default.
• W3199647981 cites W1985201527 @default.
• W3199647981 cites W2030791054 @default.
• W3199647981 cites W2031283359 @default.
• W3199647981 cites W2045727150 @default.
• W3199647981 cites W2046874050 @default.
• W3199647981 cites W2052970196 @default.
• W3199647981 cites W2076467525 @default.
• W3199647981 cites W2082964975 @default.
• W3199647981 cites W2095477585 @default.
• W3199647981 cites W2099404231 @default.
• W3199647981 cites W2101277933 @default.
• W3199647981 cites W2108489060 @default.
• W3199647981 cites W2133627030 @default.
• W3199647981 cites W2178158283 @default.
• W3199647981 cites W2410263495 @default.
• W3199647981 cites W2798500566 @default.
• W3199647981 cites W2802068567 @default.
• W3199647981 cites W2963425634 @default.
• W3199647981 cites W4243999352 @default.
• W3199647981 cites W941599431 @default.
• W3199647981 cites W2042874962 @default.
• W3199647981 doi "https://doi.org/10.1007/s11785-022-01260-5" @default.
• W3199647981 hasPublicationYear "2022" @default.
• W3199647981 type Work @default.
• W3199647981 sameAs 3199647981 @default.
• W3199647981 citedByCount "0" @default.
• W3199647981 crossrefType "journal-article" @default.
• W3199647981 hasAuthorship W3199647981A5010093096 @default.
• W3199647981 hasAuthorship W3199647981A5052670621 @default.
• W3199647981 hasAuthorship W3199647981A5081427672 @default.
• W3199647981 hasBestOaLocation W31996479811 @default.
• W3199647981 hasConcept C105795698 @default.
• W3199647981 hasConcept C112972136 @default.
• W3199647981 hasConcept C118615104 @default.
• W3199647981 hasConcept C119857082 @default.
• W3199647981 hasConcept C134306372 @default.
• W3199647981 hasConcept C14036430 @default.
• W3199647981 hasConcept C151730666 @default.
• W3199647981 hasConcept C18903297 @default.
• W3199647981 hasConcept C202444582 @default.
• W3199647981 hasConcept C2777759810 @default.
• W3199647981 hasConcept C2779343474 @default.
• W3199647981 hasConcept C28826006 @default.
• W3199647981 hasConcept C33923547 @default.
• W3199647981 hasConcept C34388435 @default.
• W3199647981 hasConcept C36299963 @default.
• W3199647981 hasConcept C41008148 @default.
• W3199647981 hasConcept C46757340 @default.
• W3199647981 hasConcept C55689738 @default.
• W3199647981 hasConcept C78458016 @default.
• W3199647981 hasConcept C86803240 @default.
• W3199647981 hasConceptScore W3199647981C105795698 @default.
• W3199647981 hasConceptScore W3199647981C112972136 @default.
• W3199647981 hasConceptScore W3199647981C118615104 @default.
• W3199647981 hasConceptScore W3199647981C119857082 @default.
• W3199647981 hasConceptScore W3199647981C134306372 @default.
• W3199647981 hasConceptScore W3199647981C14036430 @default.
• W3199647981 hasConceptScore W3199647981C151730666 @default.
• W3199647981 hasConceptScore W3199647981C18903297 @default.
• W3199647981 hasConceptScore W3199647981C202444582 @default.
• W3199647981 hasConceptScore W3199647981C2777759810 @default.
• W3199647981 hasConceptScore W3199647981C2779343474 @default.
• W3199647981 hasConceptScore W3199647981C28826006 @default.
• W3199647981 hasConceptScore W3199647981C33923547 @default.
• W3199647981 hasConceptScore W3199647981C34388435 @default.
• W3199647981 hasConceptScore W3199647981C36299963 @default.
• W3199647981 hasConceptScore W3199647981C41008148 @default.
• W3199647981 hasConceptScore W3199647981C46757340 @default.
• W3199647981 hasConceptScore W3199647981C55689738 @default.
• W3199647981 hasConceptScore W3199647981C78458016 @default.
• W3199647981 hasConceptScore W3199647981C86803240 @default.
• W3199647981 hasIssue "6" @default.
• W3199647981 hasLocation W31996479811 @default.
• W3199647981 hasLocation W31996479812 @default.
• W3199647981 hasLocation W31996479813 @default.
• W3199647981 hasOpenAccess W3199647981 @default.
• W3199647981 hasPrimaryLocation W31996479811 @default.
• W3199647981 hasRelatedWork W2032611290 @default.
• W3199647981 hasRelatedWork W2051888213 @default.
• W3199647981 hasRelatedWork W2102098509 @default.
• W3199647981 hasRelatedWork W2133946365 @default.
• W3199647981 hasRelatedWork W2162314288 @default.
• W3199647981 hasRelatedWork W2745632094 @default.
• W3199647981 hasRelatedWork W2898186729 @default.
• W3199647981 hasRelatedWork W3045163877 @default.
• W3199647981 hasRelatedWork W4245559166 @default.
• W3199647981 hasRelatedWork W2519799353 @default.
• W3199647981 hasVolume "16" @default.
• W3199647981 isParatext "false" @default.
• W3199647981 isRetracted "false" @default.

• next