Generalizations of the Hermite-Biehler theorem: The complex case

Ming Tzu Ho; Aniruddha Datta; S. P. Bhattacharyya

doi:10.1016/S0024-3795(00)00191-9

Generalizations of the Hermite-Biehler theorem: The complex case

Ming Tzu Ho, Aniruddha Datta, S. P. Bhattacharyya

Department of Engineering Science

Research output: Contribution to journal › Article › peer-review

25 Citations (Scopus)

Abstract

The Hermite-Biehler theorem gives necessary and sufficient conditions for the Hurwitz stability of a polynomial in terms of certain interlacing conditions. In this paper, we extend our earlier generalization of the Hermite-Biehler theorem for real, not necessarily Hurwitz polynomials to the domain of polynomials with complex coefficients. This result, which is of interest in its own right, can also be used to analytically solve an important stabilization problem in control theory.

Original language	English
Pages (from-to)	23-36
Number of pages	14
Journal	Linear Algebra and Its Applications
Volume	320
Issue number	1-3
DOIs	https://doi.org/10.1016/S0024-3795(00)00191-9
Publication status	Published - 2000 Nov 15

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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AU - Datta, Aniruddha

AU - Bhattacharyya, S. P.

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