Generalizations of the Hermite-Biehler theorem: the complex case

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. 2000 Elsevier Science Inc.

authors

• Datta, Aniruddha

published proceedings

• LINEAR ALGEBRA AND ITS APPLICATIONS

author list (cited authors)

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

citation count

• 23

complete list of authors

• Ho, MT||Datta, A||Bhattacharyya, SP

publication date

• November 2000

publisher

• Elsevier  Publisher

published in

• Linear Algebra and Its Applications  Journal

keywords

• Complex Coefficients
• Generalized Interlacing
• Hermite-biehler Theorem
• Root Distribution

Digital Object Identifier (DOI)

• 10.1016/S0024-3795(00)00191-9

start page

• 23

end page

• 36

volume

• 320

issue

• 1-3

URL

• http://dx.doi.org/10.1016/s0024-3795(00)00191-9