Matches in SemOpenAlex for { <https://semopenalex.org/work/W1809871003> ?p ?o ?g. }
Showing items 1 to 93 of
93
with 100 items per page.
- W1809871003 endingPage "979" @default.
- W1809871003 startingPage "954" @default.
- W1809871003 abstract "For a control Cauchy problemx˙=f(t,x,u,v)+∑α=1mgα(x)u˙α,x(a)=x¯, on an interval [a,b], we propose a notion of limit solution x, verifying the following properties: i) x is defined for L1 (impulsive) inputs u and for standard, bounded measurable, controls v; ii) in the commutative case (i.e. when [gα,gβ]≡0, for all α,β=1,…,m), x coincides with the solution one can obtain via a change of coordinates that makes the gα simultaneously constant; iii) x subsumes former concepts of solution valid for the generic, noncommutative case. In particular, when u has bounded variation, we investigate the relation between limit solutions and (single-valued) graph completion solutions. Furthermore, we prove consistency with the classical Carathéodory solution when u and x are absolutely continuous. Even though some specific problems are better addressed by means of special representations of the solutions, we believe that various theoretical issues call for a unified notion of trajectory. For instance, this is the case of optimal control problems, possibly with state and endpoint constraints, for which no extra assumptions (like e.g. coercivity, bounded variation, commutativity) are made in advance." @default.
- W1809871003 created "2016-06-24" @default.
- W1809871003 creator A5033202825 @default.
- W1809871003 creator A5050458578 @default.
- W1809871003 date "2015-02-01" @default.
- W1809871003 modified "2023-10-14" @default.
- W1809871003 title "<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msup><mml:mrow><mml:mi mathvariant=script>L</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math>limit solutions for control systems" @default.
- W1809871003 cites W1499584325 @default.
- W1809871003 cites W1573651663 @default.
- W1809871003 cites W1978976843 @default.
- W1809871003 cites W1979283834 @default.
- W1809871003 cites W1984050597 @default.
- W1809871003 cites W2005452639 @default.
- W1809871003 cites W2011352056 @default.
- W1809871003 cites W2033928407 @default.
- W1809871003 cites W2038855137 @default.
- W1809871003 cites W2040454419 @default.
- W1809871003 cites W2043943566 @default.
- W1809871003 cites W2051666174 @default.
- W1809871003 cites W2059417779 @default.
- W1809871003 cites W2066616184 @default.
- W1809871003 cites W2075964826 @default.
- W1809871003 cites W2083651908 @default.
- W1809871003 cites W2093441741 @default.
- W1809871003 cites W2105684760 @default.
- W1809871003 cites W2166776080 @default.
- W1809871003 cites W2258733318 @default.
- W1809871003 cites W2331727017 @default.
- W1809871003 cites W3100518171 @default.
- W1809871003 cites W3101032429 @default.
- W1809871003 cites W4230172292 @default.
- W1809871003 doi "https://doi.org/10.1016/j.jde.2014.10.013" @default.
- W1809871003 hasPublicationYear "2015" @default.
- W1809871003 type Work @default.
- W1809871003 sameAs 1809871003 @default.
- W1809871003 citedByCount "18" @default.
- W1809871003 countsByYear W18098710032014 @default.
- W1809871003 countsByYear W18098710032017 @default.
- W1809871003 countsByYear W18098710032018 @default.
- W1809871003 countsByYear W18098710032019 @default.
- W1809871003 countsByYear W18098710032020 @default.
- W1809871003 countsByYear W18098710032021 @default.
- W1809871003 countsByYear W18098710032022 @default.
- W1809871003 crossrefType "journal-article" @default.
- W1809871003 hasAuthorship W1809871003A5033202825 @default.
- W1809871003 hasAuthorship W1809871003A5050458578 @default.
- W1809871003 hasBestOaLocation W18098710034 @default.
- W1809871003 hasConcept C11413529 @default.
- W1809871003 hasConcept C114614502 @default.
- W1809871003 hasConcept C118615104 @default.
- W1809871003 hasConcept C134306372 @default.
- W1809871003 hasConcept C151201525 @default.
- W1809871003 hasConcept C183778304 @default.
- W1809871003 hasConcept C202444582 @default.
- W1809871003 hasConcept C33923547 @default.
- W1809871003 hasConcept C34388435 @default.
- W1809871003 hasConcept C68797384 @default.
- W1809871003 hasConceptScore W1809871003C11413529 @default.
- W1809871003 hasConceptScore W1809871003C114614502 @default.
- W1809871003 hasConceptScore W1809871003C118615104 @default.
- W1809871003 hasConceptScore W1809871003C134306372 @default.
- W1809871003 hasConceptScore W1809871003C151201525 @default.
- W1809871003 hasConceptScore W1809871003C183778304 @default.
- W1809871003 hasConceptScore W1809871003C202444582 @default.
- W1809871003 hasConceptScore W1809871003C33923547 @default.
- W1809871003 hasConceptScore W1809871003C34388435 @default.
- W1809871003 hasConceptScore W1809871003C68797384 @default.
- W1809871003 hasFunder F4320309832 @default.
- W1809871003 hasIssue "3" @default.
- W1809871003 hasLocation W18098710031 @default.
- W1809871003 hasLocation W18098710032 @default.
- W1809871003 hasLocation W18098710033 @default.
- W1809871003 hasLocation W18098710034 @default.
- W1809871003 hasLocation W18098710035 @default.
- W1809871003 hasOpenAccess W1809871003 @default.
- W1809871003 hasPrimaryLocation W18098710031 @default.
- W1809871003 hasRelatedWork W1955707229 @default.
- W1809871003 hasRelatedWork W2080493534 @default.
- W1809871003 hasRelatedWork W2105842094 @default.
- W1809871003 hasRelatedWork W2208566933 @default.
- W1809871003 hasRelatedWork W2963554496 @default.
- W1809871003 hasRelatedWork W3098013341 @default.
- W1809871003 hasRelatedWork W3125006187 @default.
- W1809871003 hasRelatedWork W3156064174 @default.
- W1809871003 hasRelatedWork W5309460 @default.
- W1809871003 hasRelatedWork W3122663833 @default.
- W1809871003 hasVolume "258" @default.
- W1809871003 isParatext "false" @default.
- W1809871003 isRetracted "false" @default.
- W1809871003 magId "1809871003" @default.
- W1809871003 workType "article" @default.
