On the regulator problem for linear degenerate control systems View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1981-02

AUTHORS

L. Pandolfi

ABSTRACT

In this paper, we study the finite-time regulator problem for linear, autonomous, degenerate systems, i.e., systems described by the differential equation with det(K)=0. Two investigations of the regulator problem are presented, which depend on the quadratic cost associated with the differential equation.

PAGES

241-254

References to SciGraph publications

  • 1980-04. Controllability and stabilization for linear systems of algebraic and differential equations in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • 1980-03. Controllability conditions of linear degenerate evolution systems in APPLIED MATHEMATICS & OPTIMIZATION
  • 1978. Singular perturbations and optimal control in MATHEMATICAL CONTROL THEORY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf00935549

    DOI

    http://dx.doi.org/10.1007/bf00935549

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1025162743


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    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/2008/0101", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Pure 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 Florence", 
              "id": "https://www.grid.ac/institutes/grid.8404.8", 
              "name": [
                "Mathematical Institute, University of Florence, Florence, Italy"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Pandolfi", 
            "givenName": "L.", 
            "id": "sg:person.012351424331.97", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012351424331.97"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "https://doi.org/10.1016/b978-0-12-208360-0.50017-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007246313"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01686724", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1012237294", 
              "https://doi.org/10.1007/bf01686724"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01686724", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1012237294", 
              "https://doi.org/10.1007/bf01686724"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bfb0065317", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023529127", 
              "https://doi.org/10.1007/bfb0065317"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01442890", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1033466267", 
              "https://doi.org/10.1007/bf01442890"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01442890", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1033466267", 
              "https://doi.org/10.1007/bf01442890"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1080/00207177908922771", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1037441217"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "1981-02", 
        "datePublishedReg": "1981-02-01", 
        "description": "In this paper, we study the finite-time regulator problem for linear, autonomous, degenerate systems, i.e., systems described by the differential equation with det(K)=0. Two investigations of the regulator problem are presented, which depend on the quadratic cost associated with the differential equation.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/bf00935549", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1044187", 
            "issn": [
              "0022-3239", 
              "1573-2878"
            ], 
            "name": "Journal of Optimization Theory and Applications", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "2", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "33"
          }
        ], 
        "name": "On the regulator problem for linear degenerate control systems", 
        "pagination": "241-254", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "77e030b63ff639894924ddd73397b402ffc3df31eda2697c2d74ae4f620332c4"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/bf00935549"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1025162743"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/bf00935549", 
          "https://app.dimensions.ai/details/publication/pub.1025162743"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T13:29", 
        "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_46747_00000001.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://link.springer.com/10.1007/BF00935549"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    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/bf00935549'

    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/bf00935549'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf00935549'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf00935549'


     

    This table displays all metadata directly associated to this object as RDF triples.

    79 TRIPLES      21 PREDICATES      32 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/bf00935549 schema:about anzsrc-for:01
    2 anzsrc-for:0101
    3 schema:author N11bce9977e3b499bbeb1aa2b38ca538d
    4 schema:citation sg:pub.10.1007/bf01442890
    5 sg:pub.10.1007/bf01686724
    6 sg:pub.10.1007/bfb0065317
    7 https://doi.org/10.1016/b978-0-12-208360-0.50017-6
    8 https://doi.org/10.1080/00207177908922771
    9 schema:datePublished 1981-02
    10 schema:datePublishedReg 1981-02-01
    11 schema:description In this paper, we study the finite-time regulator problem for linear, autonomous, degenerate systems, i.e., systems described by the differential equation with det(K)=0. Two investigations of the regulator problem are presented, which depend on the quadratic cost associated with the differential equation.
    12 schema:genre research_article
    13 schema:inLanguage en
    14 schema:isAccessibleForFree false
    15 schema:isPartOf N5d8d6149720f4527bc164a73b8d754ba
    16 N939cd109352a4c13a630664cbf51f59a
    17 sg:journal.1044187
    18 schema:name On the regulator problem for linear degenerate control systems
    19 schema:pagination 241-254
    20 schema:productId N283c0ae37ec74f1c961726ec4b31644b
    21 N5584b1944f724cfc8f036b4b737369a3
    22 Ne472c1d8aa794db18c36c11ac8362c11
    23 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025162743
    24 https://doi.org/10.1007/bf00935549
    25 schema:sdDatePublished 2019-04-11T13:29
    26 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    27 schema:sdPublisher N146704f31c0b4865916416e2e0304f6c
    28 schema:url http://link.springer.com/10.1007/BF00935549
    29 sgo:license sg:explorer/license/
    30 sgo:sdDataset articles
    31 rdf:type schema:ScholarlyArticle
    32 N11bce9977e3b499bbeb1aa2b38ca538d rdf:first sg:person.012351424331.97
    33 rdf:rest rdf:nil
    34 N146704f31c0b4865916416e2e0304f6c schema:name Springer Nature - SN SciGraph project
    35 rdf:type schema:Organization
    36 N283c0ae37ec74f1c961726ec4b31644b schema:name doi
    37 schema:value 10.1007/bf00935549
    38 rdf:type schema:PropertyValue
    39 N5584b1944f724cfc8f036b4b737369a3 schema:name readcube_id
    40 schema:value 77e030b63ff639894924ddd73397b402ffc3df31eda2697c2d74ae4f620332c4
    41 rdf:type schema:PropertyValue
    42 N5d8d6149720f4527bc164a73b8d754ba schema:volumeNumber 33
    43 rdf:type schema:PublicationVolume
    44 N939cd109352a4c13a630664cbf51f59a schema:issueNumber 2
    45 rdf:type schema:PublicationIssue
    46 Ne472c1d8aa794db18c36c11ac8362c11 schema:name dimensions_id
    47 schema:value pub.1025162743
    48 rdf:type schema:PropertyValue
    49 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    50 schema:name Mathematical Sciences
    51 rdf:type schema:DefinedTerm
    52 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
    53 schema:name Pure Mathematics
    54 rdf:type schema:DefinedTerm
    55 sg:journal.1044187 schema:issn 0022-3239
    56 1573-2878
    57 schema:name Journal of Optimization Theory and Applications
    58 rdf:type schema:Periodical
    59 sg:person.012351424331.97 schema:affiliation https://www.grid.ac/institutes/grid.8404.8
    60 schema:familyName Pandolfi
    61 schema:givenName L.
    62 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012351424331.97
    63 rdf:type schema:Person
    64 sg:pub.10.1007/bf01442890 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033466267
    65 https://doi.org/10.1007/bf01442890
    66 rdf:type schema:CreativeWork
    67 sg:pub.10.1007/bf01686724 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012237294
    68 https://doi.org/10.1007/bf01686724
    69 rdf:type schema:CreativeWork
    70 sg:pub.10.1007/bfb0065317 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023529127
    71 https://doi.org/10.1007/bfb0065317
    72 rdf:type schema:CreativeWork
    73 https://doi.org/10.1016/b978-0-12-208360-0.50017-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007246313
    74 rdf:type schema:CreativeWork
    75 https://doi.org/10.1080/00207177908922771 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037441217
    76 rdf:type schema:CreativeWork
    77 https://www.grid.ac/institutes/grid.8404.8 schema:alternateName University of Florence
    78 schema:name Mathematical Institute, University of Florence, Florence, Italy
    79 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...