## 抄録

This paper considers a synthesis problem of H<sup>∞</sup> controllers for linear systems with time delay in the form of delay-dependent memory state feedback, and develops a new Linear Matrix Inequalities (LMIs) approach. First, we present an existence condition and an explicit formula of H<sup>∞</sup> controllers in terms of infinite-dimensional LMIs. This result is rather general in the sense that it covers, as special cases, some known results for the cases of delay-independent/dependent and memoryless/memory controllers, while the infinity dimensionality of the LMIs makes the result difficult to apply. Second, we introduce a technique to reduce the infinite-dimensional LMIs to a finite number of LMIs, and present a feasible algorithm for synthesis of H<sup>∞</sup> controllers based on the finite-dimensional LMIs.

本文言語 | English |
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ホスト出版物のタイトル | European Control Conference, ECC 1999 - Conference Proceedings |

出版社 | Institute of Electrical and Electronics Engineers Inc. |

ページ | 3655-3660 |

ページ数 | 6 |

ISBN（印刷版） | 9783952417355 |

出版ステータス | Published - 2015 3月 24 |

イベント | 1999 European Control Conference, ECC 1999 - Karlsruhe, Germany 継続期間: 1999 8月 31 → 1999 9月 3 |

### Other

Other | 1999 European Control Conference, ECC 1999 |
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国/地域 | Germany |

City | Karlsruhe |

Period | 99/8/31 → 99/9/3 |

## ASJC Scopus subject areas

- 制御およびシステム工学