### Abstract

The Hermite Biehler Theorem gives necessary and sufficient conditions for Hurwitz stability of a polynomial in terms of certain interlacing conditions. In the present paper, we generalize the Hermite Biehler, Theorem to situations where the test polynomial is not necessarily stable, by studying the phase properties of the 'frequency response' of a polynomial. Examples are used throughout the paper to complement and illustrate the theoretical development.

Original language | English |
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Pages (from-to) | 130-131 |

Number of pages | 2 |

Journal | Proceedings of the IEEE Conference on Decision and Control |

Volume | 1 |

Publication status | Published - 1995 Dec 1 |

Event | Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) - New Orleans, LA, USA Duration: 1995 Dec 13 → 1995 Dec 15 |

### All Science Journal Classification (ASJC) codes

- Control and Systems Engineering
- Modelling and Simulation
- Control and Optimization

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## Cite this

Ho, M-T., Datta, A., & Bhattacharyya, S. P. (1995). Generalization of the Hermite Biehler theorem.

*Proceedings of the IEEE Conference on Decision and Control*,*1*, 130-131.