• DocumentCode
    822994
  • Title

    Applications of algebraic geometry to systems theory--Part I

  • Author

    Hermann, Robert ; Martin, Clyde F.

  • Author_Institution
    Harvard Univ., Cambridge, MA, USA
  • Volume
    22
  • Issue
    1
  • fYear
    1977
  • fDate
    2/1/1977 12:00:00 AM
  • Firstpage
    19
  • Lastpage
    25
  • Abstract
    -Basic theorems of algebraic geometry are applied to prove some pole-placement theorems, including an improved version of pole placement with output feedback. Examples are given which show the limitations of the algebro-geometric theorems and their potential value for systems theory. This paper and those to follow might contribute towards making the powerful theorems of modern algebraic geometry accessible and applicable to problems of engineering.
  • Keywords
    Algebra; Geometry; Linear time-invariant (LTI) systems; Output feedback; Pole assignment; Rational functions; System theory; Controllability; Councils; Geometry; Helium; Mathematics; Output feedback; Physics; Power engineering and energy; Stability; State feedback;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1977.1101395
  • Filename
    1101395
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=822994