A generalization of the Hermite-Biehler Theorem Conference Paper uri icon

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

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.

complete list of authors

  • Ho, MT||Datta, A||Bhattacharyya, SP

publication date

  • January 1995