Matches in SemOpenAlex for { <https://semopenalex.org/work/W4376876997> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W4376876997 abstract "Optimal control problems driven by evolutionary partial differential equations arise in many industrial applications and their numerical solution is known to be a challenging problem. One approach to obtain an optimal feedback control is via the Dynamic Programming principle. Nevertheless, despite many theoretical results, this method has been applied only to very special cases since it suffers from the curse of dimensionality. Our goalis to mitigate this crucial obstruction developing a new version of dynamic programming algorithms based on a tree structure and exploiting the compact representation of the dynamical systems based on tensors notations via a model reduction approach. Here, we want to show how this algorithm can be constructed for general nonlinear control problems and to illustrate its performances on a number of challenging numerical tests. Our numerical results indicate a large decrease in memory requirements, as well as computational time, for the proposed problems. Moreover, we prove the convergence of the algorithm and give some hints on its implementation" @default.
- W4376876997 created "2023-05-18" @default.
- W4376876997 creator A5026397978 @default.
- W4376876997 creator A5035564802 @default.
- W4376876997 date "2023-05-15" @default.
- W4376876997 modified "2023-09-29" @default.
- W4376876997 title "A multilinear HJB-POD method for the optimal control of PDEs" @default.
- W4376876997 doi "https://doi.org/10.48550/arxiv.2305.08803" @default.
- W4376876997 hasPublicationYear "2023" @default.
- W4376876997 type Work @default.
- W4376876997 citedByCount "0" @default.
- W4376876997 crossrefType "posted-content" @default.
- W4376876997 hasAuthorship W4376876997A5026397978 @default.
- W4376876997 hasAuthorship W4376876997A5035564802 @default.
- W4376876997 hasBestOaLocation W43768769971 @default.
- W4376876997 hasConcept C111030470 @default.
- W4376876997 hasConcept C121332964 @default.
- W4376876997 hasConcept C126255220 @default.
- W4376876997 hasConcept C134306372 @default.
- W4376876997 hasConcept C154945302 @default.
- W4376876997 hasConcept C162324750 @default.
- W4376876997 hasConcept C196978813 @default.
- W4376876997 hasConcept C202444582 @default.
- W4376876997 hasConcept C2777303404 @default.
- W4376876997 hasConcept C33923547 @default.
- W4376876997 hasConcept C37404715 @default.
- W4376876997 hasConcept C41008148 @default.
- W4376876997 hasConcept C50522688 @default.
- W4376876997 hasConcept C62520636 @default.
- W4376876997 hasConcept C70518039 @default.
- W4376876997 hasConcept C79379906 @default.
- W4376876997 hasConcept C84392682 @default.
- W4376876997 hasConcept C91575142 @default.
- W4376876997 hasConcept C92292787 @default.
- W4376876997 hasConcept C93779851 @default.
- W4376876997 hasConceptScore W4376876997C111030470 @default.
- W4376876997 hasConceptScore W4376876997C121332964 @default.
- W4376876997 hasConceptScore W4376876997C126255220 @default.
- W4376876997 hasConceptScore W4376876997C134306372 @default.
- W4376876997 hasConceptScore W4376876997C154945302 @default.
- W4376876997 hasConceptScore W4376876997C162324750 @default.
- W4376876997 hasConceptScore W4376876997C196978813 @default.
- W4376876997 hasConceptScore W4376876997C202444582 @default.
- W4376876997 hasConceptScore W4376876997C2777303404 @default.
- W4376876997 hasConceptScore W4376876997C33923547 @default.
- W4376876997 hasConceptScore W4376876997C37404715 @default.
- W4376876997 hasConceptScore W4376876997C41008148 @default.
- W4376876997 hasConceptScore W4376876997C50522688 @default.
- W4376876997 hasConceptScore W4376876997C62520636 @default.
- W4376876997 hasConceptScore W4376876997C70518039 @default.
- W4376876997 hasConceptScore W4376876997C79379906 @default.
- W4376876997 hasConceptScore W4376876997C84392682 @default.
- W4376876997 hasConceptScore W4376876997C91575142 @default.
- W4376876997 hasConceptScore W4376876997C92292787 @default.
- W4376876997 hasConceptScore W4376876997C93779851 @default.
- W4376876997 hasLocation W43768769971 @default.
- W4376876997 hasOpenAccess W4376876997 @default.
- W4376876997 hasPrimaryLocation W43768769971 @default.
- W4376876997 hasRelatedWork W1500457686 @default.
- W4376876997 hasRelatedWork W2034288315 @default.
- W4376876997 hasRelatedWork W2155717523 @default.
- W4376876997 hasRelatedWork W2502701370 @default.
- W4376876997 hasRelatedWork W2545178307 @default.
- W4376876997 hasRelatedWork W3027290303 @default.
- W4376876997 hasRelatedWork W3202648307 @default.
- W4376876997 hasRelatedWork W4238652891 @default.
- W4376876997 hasRelatedWork W4366200307 @default.
- W4376876997 hasRelatedWork W2187721800 @default.
- W4376876997 isParatext "false" @default.
- W4376876997 isRetracted "false" @default.
- W4376876997 workType "article" @default.