ELEMENTARY PROOFS OF SOME CLASSICAL STABILITY-CRITERIA Academic Article

abstract

• Classical stability results and tests on the stability of a given polynomial are proved and derived here using a simple continuity property. The resulting new proofs given of the Hermite-Bielei theorem and the Routh and Jury tests are elementary and insightful. Most important, the proofs given here would allow the instructor to present these fundamental topics of control theory, for the first time, in an elementary, rational, and meaningful way rather than as mere sets of rules and formulae. 1990 IEEE

published proceedings

• IEEE TRANSACTIONS ON EDUCATION

author list (cited authors)

• CHAPELLAT, H., MANSOUR, M., & BHATTACHARYYA, S. P.

citation count

• 42

complete list of authors

• CHAPELLAT, H||MANSOUR, M||BHATTACHARYYA, SP

publication date

• January 1990

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE Transactions on Education  Journal

Digital Object Identifier (DOI)

• 10.1109/13.57067

start page

• 232

end page

• 239

volume

• 33

issue

• 3

URL

• http://dx.doi.org/10.1109/13.57067