• DocumentCode
    1441732
  • Title

    Elementary proofs of some classical stability criteria

  • Author

    Chappellat, H. ; Mansour, Mohamed ; Bhattacharyya, Shankar P.

  • Author_Institution
    Dept. of Electr. Eng., Texas A&M Univ., College Station, TX, USA
  • Volume
    33
  • Issue
    3
  • fYear
    1990
  • fDate
    8/1/1990 12:00:00 AM
  • Firstpage
    232
  • Lastpage
    239
  • Abstract
    Classical stability results and test on the stability of a given polynomial are proved and derived using a simple continuity property. The resulting proofs given of the Hermite-Bieler theorem and the Routh and Jury tests are elementary and full of insight. The proofs allow the instructor to present these fundamental topics of control theory to undergraduates in an elementary, rational, and meaningful way rather than as mere sets of rules and formulae
  • Keywords
    control theory; polynomials; stability criteria; Hermite-Bieler theorem; Jury tests; Routh tests; control theory; polynomial; stability criteria; undergraduates; Control theory; Polynomials; Stability criteria; Testing;
  • fLanguage
    English
  • Journal_Title
    Education, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9359
  • Type

    jour

  • DOI
    10.1109/13.57067
  • Filename
    57067
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1441732