A generalization of the Hermite-Biehler Theorem Conference Paper

abstract

• The Hermite Biehler Theorem gives necessary and sufficient conditions for Hurwitz stability of a polynomial in terms of certain interlacing conditions. In the present paper, we generalize the Hermite Biehler, Theorem to situations where the test polynomial is not necessarily stable, by studying the phase properties of the 'frequency response' of a polynomial. Examples are used throughout the paper to complement and illustrate the theoretical development.

name of conference

• Proceedings of 1995 34th IEEE Conference on Decision and Control

authors

• Bhattacharyya, S
• Datta, Aniruddha

published proceedings

• PROCEEDINGS OF THE 34TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4

author list (cited authors)

• Ho, M. T., Datta, A., & Bhattacharyya, S. P.

citation count

• 4

complete list of authors

• Ho, MT||Datta, A||Bhattacharyya, SP

publication date

• January 1995

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• Proceedings of the ... IEEE Conference on Decision & Control / IEEE Control Systems Society. IEEE Conference on Decision & Control  Journal

Digital Object Identifier (DOI)

• 10.1109/cdc.1995.478661

International Standard Book Number (ISBN) 10

• 0-7803-2685-7

start page

• 130

end page

• 131

volume

• 1

URL

• http://dx.doi.org/10.1109/cdc.1995.478661