Generalizations of the Hermite-Biehler theorem: The complex case

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

研究成果: Article同行評審

31 引文 斯高帕斯(Scopus)

摘要

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.

原文English
頁(從 - 到)23-36
頁數14
期刊Linear Algebra and Its Applications
320
發行號1-3
DOIs
出版狀態Published - 2000 11月 15

All Science Journal Classification (ASJC) codes

  • 代數與數理論
  • 數值分析
  • 幾何和拓撲
  • 離散數學和組合

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