• DocumentCode
    843735
  • Title

    Controllability, pole placement, and stabilizability for homogenous polynomial systems

  • Author

    Samardzija, N.

  • Author_Institution
    E.I.du Pont de Nemours Company, Wilmington, DE, USA
  • Volume
    29
  • Issue
    11
  • fYear
    1984
  • fDate
    11/1/1984 12:00:00 AM
  • Firstpage
    1042
  • Lastpage
    1045
  • Abstract
    In linear system theory the concepts of controllability, pole assignment, and stabilizability are very familiar. These topics are now addressed for the class of homogeneous polynomial systems. First, general results on necessary conditions for the state controllability are derived using results from linear algebra and algebraic geometry. Then pole placement and stabilizability results are developed for the two-dimensional case. Finally, practical examples illustrate the results.
  • Keywords
    Controllability, nonlinear systems; Pole assignment, nonlinear systems; Stability, nonlinear systems; Algorithm design and analysis; Constraint optimization; Controllability; Functional programming; Libraries; Optimal control; Polynomials; State feedback; Testing; Three-term control;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1984.1103422
  • Filename
    1103422