Sufficient algebraic conditions for stability of cones of polynomials

Saved in:
Bibliographic Details
Title: Sufficient algebraic conditions for stability of cones of polynomials
Authors: Aguirre, B.1, Ibarra, C.1, Suárez, R. rsuarez@xanum.uam.mx
Source: Systems & Control Letters. Jul2002, Vol. 46 Issue 4, p255. 9p.
Subjects: Polynomials, Electronic controllers
Abstract: In this paper a sufficient condition for a cone of polynomials to be Hurwitz is established. Such condition is a matrix inequality, which gives a simple algebraic test for the stability of rays of polynomials. As an application to stable open-loop systems, a cone of gains c such that the function u=−kcTx is a stabilizing control feedback for all k>0 is shown to exist. [Copyright &y& Elsevier]
Copyright of Systems & Control Letters is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 7826395
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Sufficient algebraic conditions for stability of cones of polynomials
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Aguirre%2C+B%2E%22">Aguirre, B.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Ibarra%2C+C%2E%22">Ibarra, C.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Suárez%2C+R%2E%22">Suárez, R.</searchLink><i> rsuarez@xanum.uam.mx</i>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Systems+%26+Control+Letters%22">Systems & Control Letters</searchLink>. Jul2002, Vol. 46 Issue 4, p255. 9p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Polynomials%22">Polynomials</searchLink><br /><searchLink fieldCode="DE" term="%22Electronic+controllers%22">Electronic controllers</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In this paper a sufficient condition for a cone of polynomials to be Hurwitz is established. Such condition is a matrix inequality, which gives a simple algebraic test for the stability of rays of polynomials. As an application to stable open-loop systems, a cone of gains <f>c</f> such that the function <f>u=−kcTx</f> is a stabilizing control feedback for all <f>k>0</f> is shown to exist. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Systems & Control Letters is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=7826395
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/S0167-6911(02)00131-7
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 9
        StartPage: 255
    Subjects:
      – SubjectFull: Polynomials
        Type: general
      – SubjectFull: Electronic controllers
        Type: general
    Titles:
      – TitleFull: Sufficient algebraic conditions for stability of cones of polynomials
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Aguirre, B.
      – PersonEntity:
          Name:
            NameFull: Ibarra, C.
      – PersonEntity:
          Name:
            NameFull: Suárez, R.
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 23
              M: 07
              Text: Jul2002
              Type: published
              Y: 2002
          Identifiers:
            – Type: issn-print
              Value: 01676911
          Numbering:
            – Type: volume
              Value: 46
            – Type: issue
              Value: 4
          Titles:
            – TitleFull: Systems & Control Letters
              Type: main
ResultId 1