TY - JOUR
T1 - Generalizations of the Hermite-Biehler theorem
T2 - The complex case
AU - Ho, Ming Tzu
AU - Datta, Aniruddha
AU - Bhattacharyya, S. P.
N1 - Funding Information:
ø This work was supported in part by the National Science Foundation under Grant ECS-9903488 and in part by the Texas Advanced Technology Program under Grant No. 000512-0099-1999. ∗ Corresponding author. Tel.: +1-409-845-5917; fax: +1-409-845-6259. E-mail addresses: bruceho@mail.ncku.edu.tw (M.-T. Ho), datta@ee.tamu.edu (A. Datta), bhatt@ee.tamu.edu (S.P. Bhattacharyya).
PY - 2000/11/15
Y1 - 2000/11/15
N2 - 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.
AB - 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.
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U2 - 10.1016/S0024-3795(00)00191-9
DO - 10.1016/S0024-3795(00)00191-9
M3 - Article
AN - SCOPUS:0034357445
VL - 320
SP - 23
EP - 36
JO - Linear Algebra and Its Applications
JF - Linear Algebra and Its Applications
SN - 0024-3795
IS - 1-3
ER -