• DocumentCode
    781232
  • Title

    A procedure for the positive definiteness of forms of even order

  • Author

    Hasan, Mohammed A. ; Hasan, Ali A.

  • Author_Institution
    Dept. of Electr. Eng., Colorado State Univ., Fort Collins, CO, USA
  • Volume
    41
  • Issue
    4
  • fYear
    1996
  • fDate
    4/1/1996 12:00:00 AM
  • Firstpage
    615
  • Lastpage
    617
  • Abstract
    A positivity method for forms of even order is reported. It is shown that testing for positivity of such forms can be reduced to a test for positive definiteness of parametric-matrices. Special emphasis is placed on quartic- and sixth-order forms. Examples are given to illustrate the proposed criterion
  • Keywords
    matrix algebra; minimisation; quadratic programming; transfer functions; even order forms; parametric-matrices; positive definiteness; quartic-order forms; sixth-order forms; Algebra; Filtering theory; Filters; Lagrangian functions; Lyapunov method; Output feedback; Quadratic programming; Sufficient conditions; Symmetric matrices; Testing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.489287
  • Filename
    489287
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=781232