### Abstract

Recently in [1, 3], a generalization of the classical Hermite-Biehler Theorem was derived and shown to be useful for solving a number of fixed order and structure stabilization problems. This generalization, though adequate for solving these stabilization problems, required the assumption that the polynomial in question have no roots on the imaginary axis except for possibly a simple root at the origin. In this note, the result of [1] is extended to also allow roots on the imaginary axis: the main conclusion is that the roots, if any, at the origin modify the earlier Theorem statement only very slightly while the other imaginary axis roots leave it unchanged. The extension presented here permits a clearer exposition of the stabilization results in [1, 3].

Original language | English |
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Title of host publication | Proceedings of the 1998 American Control Conference, ACC 1998 |

Pages | 3206-3209 |

Number of pages | 4 |

DOIs | |

Publication status | Published - 1998 Dec 1 |

Event | 1998 American Control Conference, ACC 1998 - Philadelphia, PA, United States Duration: 1998 Jun 24 → 1998 Jun 26 |

### Publication series

Name | Proceedings of the American Control Conference |
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Volume | 5 |

ISSN (Print) | 0743-1619 |

### Other

Other | 1998 American Control Conference, ACC 1998 |
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Country | United States |

City | Philadelphia, PA |

Period | 98-06-24 → 98-06-26 |

### All Science Journal Classification (ASJC) codes

- Electrical and Electronic Engineering

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## Cite this

*Proceedings of the 1998 American Control Conference, ACC 1998*(pp. 3206-3209). [688454] (Proceedings of the American Control Conference; Vol. 5). https://doi.org/10.1109/ACC.1998.688454