Ontology type: schema:ScholarlyArticle
1992-09
AUTHORSPiermarco Cannarsa, Halina Frankowska
ABSTRACTThis paper is concerned with optimal control problems of Mayer and Bolza type for systems governed by a semilinear state equationx′(t)=Ax(t) + f(t, x(t), u(t)), u(t) ε U, whereA is the infinitesimal generator of a strongly continuous semigroup in a Banach spaceX. We prove necessary and sufficient conditions for optimality and then use these conditions to investigate properties of the value function related to superdifferentials. Conversely, we use the value function to obtain criteria for optimality and feedback systems. More... »
PAGES139-169
http://scigraph.springernature.com/pub.10.1007/bf01189028
DOIhttp://dx.doi.org/10.1007/bf01189028
DIMENSIONShttps://app.dimensions.ai/details/publication/pub.1010243393
JSON-LD is the canonical representation for SciGraph data.
TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT
[
{
"@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json",
"about": [
{
"id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0102",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Applied Mathematics",
"type": "DefinedTerm"
},
{
"id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Mathematical Sciences",
"type": "DefinedTerm"
}
],
"author": [
{
"affiliation": {
"alternateName": "University of Rome Tor Vergata",
"id": "https://www.grid.ac/institutes/grid.6530.0",
"name": [
"Dipartimento di Matematica, II Universit\u00e0 di Roma \u201cTor Vergata\u201d, Via O. Raimondo, 00173, Roma, Italy"
],
"type": "Organization"
},
"familyName": "Cannarsa",
"givenName": "Piermarco",
"id": "sg:person.014257010655.09",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014257010655.09"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "French National Centre for Scientific Research",
"id": "https://www.grid.ac/institutes/grid.4444.0",
"name": [
"CNRS, Centre National de la Recherche Scientifique, CEREMADE, Universit\u00e9 Paris-Dauphine, 75775, Paris Cedex 16, France"
],
"type": "Organization"
},
"familyName": "Frankowska",
"givenName": "Halina",
"id": "sg:person.011352240731.80",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011352240731.80"
],
"type": "Person"
}
],
"citation": [
{
"id": "https://doi.org/10.1016/0047-259x(77)90037-9",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1006935561"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1090/s0002-9947-1984-0732102-x",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1009454689"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01442651",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1009634990",
"https://doi.org/10.1007/bf01442651"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01442651",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1009634990",
"https://doi.org/10.1007/bf01442651"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/0022-247x(88)90372-1",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1016809712"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/0022-1236(90)90079-z",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1021667524"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/0022-1236(90)90147-d",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1022549597"
],
"type": "CreativeWork"
},
{
"id": "https://app.dimensions.ai/details/publication/pub.1024024845",
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-1-4612-6380-7",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1024024845",
"https://doi.org/10.1007/978-1-4612-6380-7"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-1-4612-6380-7",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1024024845",
"https://doi.org/10.1007/978-1-4612-6380-7"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/0022-247x(86)90171-x",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1029130187"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/0022-1236(90)90084-x",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1054544527"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/0329068",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062844322"
],
"type": "CreativeWork"
}
],
"datePublished": "1992-09",
"datePublishedReg": "1992-09-01",
"description": "This paper is concerned with optimal control problems of Mayer and Bolza type for systems governed by a semilinear state equationx\u2032(t)=Ax(t) + f(t, x(t), u(t)), u(t) \u03b5 U, whereA is the infinitesimal generator of a strongly continuous semigroup in a Banach spaceX. We prove necessary and sufficient conditions for optimality and then use these conditions to investigate properties of the value function related to superdifferentials. Conversely, we use the value function to obtain criteria for optimality and feedback systems.",
"genre": "research_article",
"id": "sg:pub.10.1007/bf01189028",
"inLanguage": [
"en"
],
"isAccessibleForFree": false,
"isPartOf": [
{
"id": "sg:journal.1120592",
"issn": [
"0095-4616",
"1432-0606"
],
"name": "Applied Mathematics & Optimization",
"type": "Periodical"
},
{
"issueNumber": "2",
"type": "PublicationIssue"
},
{
"type": "PublicationVolume",
"volumeNumber": "26"
}
],
"name": "Value function and optimality conditions for semilinear control problems",
"pagination": "139-169",
"productId": [
{
"name": "readcube_id",
"type": "PropertyValue",
"value": [
"30ccffe486e7c18f0a5cc1339fc9f0711977fd1e79fabb7bc3e4d795e48981a9"
]
},
{
"name": "doi",
"type": "PropertyValue",
"value": [
"10.1007/bf01189028"
]
},
{
"name": "dimensions_id",
"type": "PropertyValue",
"value": [
"pub.1010243393"
]
}
],
"sameAs": [
"https://doi.org/10.1007/bf01189028",
"https://app.dimensions.ai/details/publication/pub.1010243393"
],
"sdDataset": "articles",
"sdDatePublished": "2019-04-11T13:34",
"sdLicense": "https://scigraph.springernature.com/explorer/license/",
"sdPublisher": {
"name": "Springer Nature - SN SciGraph project",
"type": "Organization"
},
"sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000370_0000000370/records_46772_00000000.jsonl",
"type": "ScholarlyArticle",
"url": "http://link.springer.com/10.1007/BF01189028"
}
]Download the RDF metadata as: json-ld nt turtle xml License info
JSON-LD is a popular format for linked data which is fully compatible with JSON.
curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/bf01189028'
N-Triples is a line-based linked data format ideal for batch operations.
curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/bf01189028'
Turtle is a human-readable linked data format.
curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf01189028'
RDF/XML is a standard XML format for linked data.
curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf01189028'
This table displays all metadata directly associated to this object as RDF triples.
105 TRIPLES
21 PREDICATES
38 URIs
19 LITERALS
7 BLANK NODES