• DocumentCode
    2804476
  • Title

    Necessary and sufficient conditions for a polytope of real polynomials to contain a Hurwitz polynomial

  • Author

    Pujara, L.R.

  • Author_Institution
    Dept. of Electr. Eng., Wright State Univ., Dayton, OH, USA
  • fYear
    2000
  • fDate
    2000
  • Firstpage
    127
  • Lastpage
    132
  • Abstract
    Necessary and sufficient conditions for a polytope of real polynomials to contain a Hurwitz polynomial are established. More specifically, it is proved that a polytope of real polynomials contains a stable polynomial if and only if a certain semipolytope of the polytope contains a stable polynomial. The existence theorem is followed by an algorithm to determine a stable polynomial in the polytope, if one exists. The polytope problem for discrete polynomials is also solved. Two illustrative examples are included
  • Keywords
    polynomials; set theory; stability; Hurwitz polynomial; discrete polynomials; existence theorem; necessary and sufficient conditions; real polynomials; semipolytope; stable polynomial; Books; Output feedback; Polynomials; Robust stability; Sufficient conditions; Uncertainty;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Applications, 2000. Proceedings of the 2000 IEEE International Conference on
  • Conference_Location
    Anchorage, AK
  • Print_ISBN
    0-7803-6562-3
  • Type

    conf

  • DOI
    10.1109/CCA.2000.897411
  • Filename
    897411
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2804476