## 摘要

A novel methodology for Hankel approximation and H^{∞}-optimization problems is presented, based on a new formulation of the Adamjan-Arov-Krein one-step extension problem. The problem is solved by the Sarason interpolation theorem. The parametrization of all optimal solutions is given in terms of the eigenvalue decomposition of a Hermitian matrix composed directly from the coefficients of the given transfer function matrix. The proposed method does not require an initial balanced realization; nevertheless, the method itself provides a very simple, natural wayt to achieve this. In the present method, if one obtains the minimal balanced realization of a given transfer function matrix, then one also obtains the Hankel approximants of that transfer function at the same time.

原文 | English |
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頁（從 - 到） | 2622-2627 |

頁數 | 6 |

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

卷 | 5 |

出版狀態 | Published - 1990 12月 1 |

事件 | Proceedings of the 29th IEEE Conference on Decision and Control Part 5 (of 6) - Honolulu, HI, USA 持續時間: 1990 12月 5 → 1990 12月 7 |

## All Science Journal Classification (ASJC) codes

- 控制與系統工程
- 建模與模擬
- 控制和優化

## 指紋

深入研究「One-step extension approach to optimal Hankel-norm approximation and H^{∞}-optimization problems」主題。共同形成了獨特的指紋。