Generalizations of the Hermite-Biehler theorem

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

研究成果: Article同行評審

58 引文 斯高帕斯(Scopus)


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 generalize the Hermite-Biehler theorem to situations where the test polynomial is not necessarily Hurwitz. The generalization is given in terms of an analytical expression for the difference between the numbers of roots of the polynomial in the open left-half and open right-half planes. The result can be used to solve important stabilization problems in control theory and is, therefore, of both academic as well as practical interest.

頁(從 - 到)135-153
期刊Linear Algebra and Its Applications
出版狀態Published - 1999 12月 1

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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