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On solutions of the con-Yakubovich matrix equation X - AXF = by

  • Harbin Institute of Technology Shenzhen

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The con-Yakubovich matrix equation X - AXF = BY is investigated in this paper. An explicit general solution of this equation is given by a finite sum. In addition, the solution can be equivalently expressed in terms of con-controllability and con-observability. Another feature of the obtained solution is that the matrix F explicitly appears in the expression, which allows the matrix F to be undetermined. Finally, a numerical example is employed to show the effectiveness of the proposed approach.

Original languageEnglish
Title of host publicationProceedings of the 33rd Chinese Control Conference, CCC 2014
EditorsShengyuan Xu, Qianchuan Zhao
PublisherIEEE Computer Society
Pages6148-6152
Number of pages5
ISBN (Electronic)9789881563842
DOIs
StatePublished - 11 Sep 2014
Externally publishedYes
EventProceedings of the 33rd Chinese Control Conference, CCC 2014 - Nanjing, China
Duration: 28 Jul 201430 Jul 2014

Publication series

NameProceedings of the 33rd Chinese Control Conference, CCC 2014
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

ConferenceProceedings of the 33rd Chinese Control Conference, CCC 2014
Country/TerritoryChina
CityNanjing
Period28/07/1430/07/14

Keywords

  • Con-Yakubovich matrix equations
  • Con-controllability matrices
  • Con-observability matrices
  • Explicit solutions

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