Stabilization of nonlinear discrete-time dynamic control systems with a parameter and state-dependent coefficients View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2016-01

AUTHORS

S. V. Emel’yanov, Yu. E. Danik, M. G. Dmitriev, D. A. Makarov

ABSTRACT

A numerical-analytical algorithm for designing nonlinear stabilizing regulators for the class of nonlinear discrete-time control systems is proposed that significantly reduces computational costs. The resulting regulator is suboptimal with respect to the constructed quadratic functional with state-dependent coefficients. The conditions for the stability of the closed-loop system are established, and a stability result is stated. Numerical results are presented showing that the nonlinear regulator designed is superior to the linear one with respect to both nonlinear and standard time-invariant cost functionals. An example demonstrates that the closed-loop system is uniformly asymptotically stable. More... »

PAGES

121-123

Journal

TITLE

Doklady Mathematics

ISSUE

1

VOLUME

93

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1134/s1064562416010142

DOI

http://dx.doi.org/10.1134/s1064562416010142

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1006377224


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/2008/0102", 
        "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": "Russian Academy of Sciences", 
          "id": "https://www.grid.ac/institutes/grid.4886.2", 
          "name": [
            "Federal Research Center \u201cComputer Science and Control,\u201d, Russian Academy of Sciences, pr. 60-letiya Oktyabrya 9, 117312, Moscow, Russia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Emel\u2019yanov", 
        "givenName": "S. V.", 
        "id": "sg:person.012146212572.40", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012146212572.40"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Russian Academy of Sciences", 
          "id": "https://www.grid.ac/institutes/grid.4886.2", 
          "name": [
            "Federal Research Center \u201cComputer Science and Control,\u201d, Russian Academy of Sciences, pr. 60-letiya Oktyabrya 9, 117312, Moscow, Russia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Danik", 
        "givenName": "Yu. E.", 
        "id": "sg:person.010762502657.00", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010762502657.00"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Russian Academy of Sciences", 
          "id": "https://www.grid.ac/institutes/grid.4886.2", 
          "name": [
            "Federal Research Center \u201cComputer Science and Control,\u201d, Russian Academy of Sciences, pr. 60-letiya Oktyabrya 9, 117312, Moscow, Russia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Dmitriev", 
        "givenName": "M. G.", 
        "id": "sg:person.010050255001.16", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010050255001.16"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Russian Academy of Sciences", 
          "id": "https://www.grid.ac/institutes/grid.4886.2", 
          "name": [
            "Federal Research Center \u201cComputer Science and Control,\u201d, Russian Academy of Sciences, pr. 60-letiya Oktyabrya 9, 117312, Moscow, Russia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Makarov", 
        "givenName": "D. A.", 
        "id": "sg:person.015066505607.06", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015066505607.06"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1109/cdc.2013.6760694", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1093506481"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1109/acc.2005.1470311", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1093510137"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2016-01", 
    "datePublishedReg": "2016-01-01", 
    "description": "A numerical-analytical algorithm for designing nonlinear stabilizing regulators for the class of nonlinear discrete-time control systems is proposed that significantly reduces computational costs. The resulting regulator is suboptimal with respect to the constructed quadratic functional with state-dependent coefficients. The conditions for the stability of the closed-loop system are established, and a stability result is stated. Numerical results are presented showing that the nonlinear regulator designed is superior to the linear one with respect to both nonlinear and standard time-invariant cost functionals. An example demonstrates that the closed-loop system is uniformly asymptotically stable.", 
    "genre": "non_research_article", 
    "id": "sg:pub.10.1134/s1064562416010142", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1136704", 
        "issn": [
          "1064-5624", 
          "1531-8362"
        ], 
        "name": "Doklady Mathematics", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "1", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "93"
      }
    ], 
    "name": "Stabilization of nonlinear discrete-time dynamic control systems with a parameter and state-dependent coefficients", 
    "pagination": "121-123", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "1e604ce68edb1dda0c96e6871f543bd983e3d9287b27e9bde8a79e9b324ed576"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1134/s1064562416010142"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1006377224"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1134/s1064562416010142", 
      "https://app.dimensions.ai/details/publication/pub.1006377224"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-10T17:29", 
    "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/v90/0000000001_0000000264/records_8672_00000503.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1134%2FS1064562416010142"
  }
]
 

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.10.1134/s1064562416010142'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1134/s1064562416010142'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1134/s1064562416010142'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1134/s1064562416010142'


 

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

88 TRIPLES      21 PREDICATES      29 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1134/s1064562416010142 schema:about anzsrc-for:01
2 anzsrc-for:0102
3 schema:author Na7c329275ea1413997eb9c94a839fd05
4 schema:citation https://doi.org/10.1109/acc.2005.1470311
5 https://doi.org/10.1109/cdc.2013.6760694
6 schema:datePublished 2016-01
7 schema:datePublishedReg 2016-01-01
8 schema:description A numerical-analytical algorithm for designing nonlinear stabilizing regulators for the class of nonlinear discrete-time control systems is proposed that significantly reduces computational costs. The resulting regulator is suboptimal with respect to the constructed quadratic functional with state-dependent coefficients. The conditions for the stability of the closed-loop system are established, and a stability result is stated. Numerical results are presented showing that the nonlinear regulator designed is superior to the linear one with respect to both nonlinear and standard time-invariant cost functionals. An example demonstrates that the closed-loop system is uniformly asymptotically stable.
9 schema:genre non_research_article
10 schema:inLanguage en
11 schema:isAccessibleForFree false
12 schema:isPartOf N1cca3f68b7b74afc9680aacfc07599e6
13 N55f9281576864ca89599fa1adf74e007
14 sg:journal.1136704
15 schema:name Stabilization of nonlinear discrete-time dynamic control systems with a parameter and state-dependent coefficients
16 schema:pagination 121-123
17 schema:productId N96165f7fd29441db9bbedb2ef4df91b3
18 N9ff0a444c03e4d5a9d6fca43adba3596
19 Nae7eb9b7f56d4526b8ed86f471137bf5
20 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006377224
21 https://doi.org/10.1134/s1064562416010142
22 schema:sdDatePublished 2019-04-10T17:29
23 schema:sdLicense https://scigraph.springernature.com/explorer/license/
24 schema:sdPublisher Ne3739e5182004e5d924280f70c51cb00
25 schema:url http://link.springer.com/10.1134%2FS1064562416010142
26 sgo:license sg:explorer/license/
27 sgo:sdDataset articles
28 rdf:type schema:ScholarlyArticle
29 N1cca3f68b7b74afc9680aacfc07599e6 schema:issueNumber 1
30 rdf:type schema:PublicationIssue
31 N4c2d4c479d884a69a64aee94451f1215 rdf:first sg:person.010762502657.00
32 rdf:rest Nc6bc0b5406114a56adb5d867255d2223
33 N54c82109e6f044349ae6babcaad299d0 rdf:first sg:person.015066505607.06
34 rdf:rest rdf:nil
35 N55f9281576864ca89599fa1adf74e007 schema:volumeNumber 93
36 rdf:type schema:PublicationVolume
37 N96165f7fd29441db9bbedb2ef4df91b3 schema:name doi
38 schema:value 10.1134/s1064562416010142
39 rdf:type schema:PropertyValue
40 N9ff0a444c03e4d5a9d6fca43adba3596 schema:name dimensions_id
41 schema:value pub.1006377224
42 rdf:type schema:PropertyValue
43 Na7c329275ea1413997eb9c94a839fd05 rdf:first sg:person.012146212572.40
44 rdf:rest N4c2d4c479d884a69a64aee94451f1215
45 Nae7eb9b7f56d4526b8ed86f471137bf5 schema:name readcube_id
46 schema:value 1e604ce68edb1dda0c96e6871f543bd983e3d9287b27e9bde8a79e9b324ed576
47 rdf:type schema:PropertyValue
48 Nc6bc0b5406114a56adb5d867255d2223 rdf:first sg:person.010050255001.16
49 rdf:rest N54c82109e6f044349ae6babcaad299d0
50 Ne3739e5182004e5d924280f70c51cb00 schema:name Springer Nature - SN SciGraph project
51 rdf:type schema:Organization
52 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
53 schema:name Mathematical Sciences
54 rdf:type schema:DefinedTerm
55 anzsrc-for:0102 schema:inDefinedTermSet anzsrc-for:
56 schema:name Applied Mathematics
57 rdf:type schema:DefinedTerm
58 sg:journal.1136704 schema:issn 1064-5624
59 1531-8362
60 schema:name Doklady Mathematics
61 rdf:type schema:Periodical
62 sg:person.010050255001.16 schema:affiliation https://www.grid.ac/institutes/grid.4886.2
63 schema:familyName Dmitriev
64 schema:givenName M. G.
65 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010050255001.16
66 rdf:type schema:Person
67 sg:person.010762502657.00 schema:affiliation https://www.grid.ac/institutes/grid.4886.2
68 schema:familyName Danik
69 schema:givenName Yu. E.
70 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010762502657.00
71 rdf:type schema:Person
72 sg:person.012146212572.40 schema:affiliation https://www.grid.ac/institutes/grid.4886.2
73 schema:familyName Emel’yanov
74 schema:givenName S. V.
75 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012146212572.40
76 rdf:type schema:Person
77 sg:person.015066505607.06 schema:affiliation https://www.grid.ac/institutes/grid.4886.2
78 schema:familyName Makarov
79 schema:givenName D. A.
80 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015066505607.06
81 rdf:type schema:Person
82 https://doi.org/10.1109/acc.2005.1470311 schema:sameAs https://app.dimensions.ai/details/publication/pub.1093510137
83 rdf:type schema:CreativeWork
84 https://doi.org/10.1109/cdc.2013.6760694 schema:sameAs https://app.dimensions.ai/details/publication/pub.1093506481
85 rdf:type schema:CreativeWork
86 https://www.grid.ac/institutes/grid.4886.2 schema:alternateName Russian Academy of Sciences
87 schema:name Federal Research Center “Computer Science and Control,”, Russian Academy of Sciences, pr. 60-letiya Oktyabrya 9, 117312, Moscow, Russia
88 rdf:type schema:Organization
 




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


...