Matches in SemOpenAlex for { <https://semopenalex.org/work/W4298012156> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W4298012156 abstract "We study the infinite horizon Linear-Quadratic problem and the associated algebraic Riccati equations for systems with unbounded control actions. The operator-theoretic context is motivated by composite systems of Partial Differential Equations (PDE) with boundary or point control. Specific focus is placed on systems of coupled hyperbolic/parabolic PDE with an overall `predominant' hyperbolic character, such as, e.g., some models for thermoelastic or fluid-structure interactions. While unbounded control actions lead to Riccati equations with unbounded (operator) coefficients, unlike the parabolic case solvability of these equations becomes a major issue, owing to the lack of sufficient regularity of the solutions to the composite dynamics. In the present case, even the more general theory appealing to estimates of the singularity displayed by the kernel which occurs in the integral representation of the solution to the control system fails. A novel framework which embodies possible hyperbolic components of the dynamics has been introduced by the authors in 2005, and a full theory of the LQ-problem on a finite time horizon has been developed. The present paper provides the infinite time horizon theory, culminating in well-posedness of the corresponding (algebraic) Riccati equations. New technical challenges are encountered and new tools are needed, especially in order to pinpoint the differentiability of the optimal solution. The theory is illustrated by means of a boundary control problem arising in thermoelasticity." @default.
- W4298012156 created "2022-10-01" @default.
- W4298012156 creator A5015739982 @default.
- W4298012156 creator A5036526915 @default.
- W4298012156 creator A5053756814 @default.
- W4298012156 date "2012-02-27" @default.
- W4298012156 modified "2023-09-23" @default.
- W4298012156 title "A theory of the infinite horizon LQ-problem for composite systems of PDEs with boundary control" @default.
- W4298012156 doi "https://doi.org/10.48550/arxiv.1202.5890" @default.
- W4298012156 hasPublicationYear "2012" @default.
- W4298012156 type Work @default.
- W4298012156 citedByCount "0" @default.
- W4298012156 crossrefType "posted-content" @default.
- W4298012156 hasAuthorship W4298012156A5015739982 @default.
- W4298012156 hasAuthorship W4298012156A5036526915 @default.
- W4298012156 hasAuthorship W4298012156A5053756814 @default.
- W4298012156 hasBestOaLocation W42980121561 @default.
- W4298012156 hasConcept C104317684 @default.
- W4298012156 hasConcept C121332964 @default.
- W4298012156 hasConcept C126255220 @default.
- W4298012156 hasConcept C134306372 @default.
- W4298012156 hasConcept C151730666 @default.
- W4298012156 hasConcept C153294291 @default.
- W4298012156 hasConcept C158448853 @default.
- W4298012156 hasConcept C17020691 @default.
- W4298012156 hasConcept C185592680 @default.
- W4298012156 hasConcept C204530211 @default.
- W4298012156 hasConcept C2777021972 @default.
- W4298012156 hasConcept C2779343474 @default.
- W4298012156 hasConcept C28826006 @default.
- W4298012156 hasConcept C33923547 @default.
- W4298012156 hasConcept C55493867 @default.
- W4298012156 hasConcept C62354387 @default.
- W4298012156 hasConcept C86339819 @default.
- W4298012156 hasConcept C86803240 @default.
- W4298012156 hasConcept C91575142 @default.
- W4298012156 hasConcept C92458943 @default.
- W4298012156 hasConcept C93779851 @default.
- W4298012156 hasConcept C98779006 @default.
- W4298012156 hasConceptScore W4298012156C104317684 @default.
- W4298012156 hasConceptScore W4298012156C121332964 @default.
- W4298012156 hasConceptScore W4298012156C126255220 @default.
- W4298012156 hasConceptScore W4298012156C134306372 @default.
- W4298012156 hasConceptScore W4298012156C151730666 @default.
- W4298012156 hasConceptScore W4298012156C153294291 @default.
- W4298012156 hasConceptScore W4298012156C158448853 @default.
- W4298012156 hasConceptScore W4298012156C17020691 @default.
- W4298012156 hasConceptScore W4298012156C185592680 @default.
- W4298012156 hasConceptScore W4298012156C204530211 @default.
- W4298012156 hasConceptScore W4298012156C2777021972 @default.
- W4298012156 hasConceptScore W4298012156C2779343474 @default.
- W4298012156 hasConceptScore W4298012156C28826006 @default.
- W4298012156 hasConceptScore W4298012156C33923547 @default.
- W4298012156 hasConceptScore W4298012156C55493867 @default.
- W4298012156 hasConceptScore W4298012156C62354387 @default.
- W4298012156 hasConceptScore W4298012156C86339819 @default.
- W4298012156 hasConceptScore W4298012156C86803240 @default.
- W4298012156 hasConceptScore W4298012156C91575142 @default.
- W4298012156 hasConceptScore W4298012156C92458943 @default.
- W4298012156 hasConceptScore W4298012156C93779851 @default.
- W4298012156 hasConceptScore W4298012156C98779006 @default.
- W4298012156 hasLocation W42980121561 @default.
- W4298012156 hasOpenAccess W4298012156 @default.
- W4298012156 hasPrimaryLocation W42980121561 @default.
- W4298012156 hasRelatedWork W2038512279 @default.
- W4298012156 hasRelatedWork W2052109794 @default.
- W4298012156 hasRelatedWork W2061840376 @default.
- W4298012156 hasRelatedWork W2065735732 @default.
- W4298012156 hasRelatedWork W2098586728 @default.
- W4298012156 hasRelatedWork W2169583634 @default.
- W4298012156 hasRelatedWork W2560614425 @default.
- W4298012156 hasRelatedWork W3161443230 @default.
- W4298012156 hasRelatedWork W3165489610 @default.
- W4298012156 hasRelatedWork W4226101702 @default.
- W4298012156 isParatext "false" @default.
- W4298012156 isRetracted "false" @default.
- W4298012156 workType "article" @default.