• DocumentCode
    854039
  • Title

    Divisors of polynomial matrices: Theory and applications

  • Author

    Solak, Marek K.

  • Author_Institution
    Texas A&M Univ., College Station, TX
  • Volume
    32
  • Issue
    10
  • fYear
    1987
  • fDate
    10/1/1987 12:00:00 AM
  • Firstpage
    916
  • Lastpage
    920
  • Abstract
    In this note divisors G(s) of a given polynomial matrix N(s) are discussed. The note deals with the following problems: extraction of a greatest right (left) divisor of N(s) , computation for a given state-space system (C, A, B) a state-space feedback making the system (C, A + BF, B) maximally or appropriately observable, and determination for a given system (C, A, B, O, W, O) a disturbance rejection feedback F . The developed methods are very simple from a computational point of view and can be easily implemented in the software via existing computer library procedures.
  • Keywords
    Division; Polynomial matrices; State-feedback, linear systems; Continuous time systems; Frequency domain analysis; Frequency measurement; Gold; Polynomials; Shape measurement; Stability; State feedback; Sufficient conditions; Uncertainty;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1987.1104452
  • Filename
    1104452