• DocumentCode
    845190
  • Title

    Proper rational matrix diophantine equations and the exact model matching problem

  • Author

    Vardulakis, A.I.G.

  • Author_Institution
    Aristotelian Univ. of Thessaloniki, Greece
  • Volume
    29
  • Issue
    5
  • fYear
    1984
  • fDate
    5/1/1984 12:00:00 AM
  • Firstpage
    475
  • Lastpage
    477
  • Abstract
    Relying on the theory behind the Smith-MacMillan form of a rational matrix at s = \\infty , a necessary and sufficient condition is derived from the solvability of matrix Diophantine equations of the form A(s)X(s)+B(s)Y(s) = M(s) , where A(s), B(s) , and M(s) are given proper rational matrices and X(s) and Y(s) are unknown proper rational matrices. It is shown that the above result can be used in order to resolve in a new illuminating way the exact model matching problem (EMMP). If a solution to EMMP exists, then the family of all solutions is parametrized.
  • Keywords
    Linear systems; Rational matrices; Control systems; Cost accounting; Equations; H infinity control; Mathematics; Poles and zeros; Polynomials; Sufficient conditions; Writing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1984.1103566
  • Filename
    1103566
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=845190