<図書>
Optimal control : an introduction to the theory with applications
| 責任表示 | Leslie M. Hocking |
|---|---|
| シリーズ | Oxford applied mathematics and computing science series |
| データ種別 | 図書 |
| 出版情報 | Oxford : Clarendon Press , 1991 |
| 本文言語 | 英語 |
| 大きさ | xiv, 254 p. ; 22 cm |
| 概要 | Systems that evolve with time occur frequently in nature and modelling the behavior of such systems provides an important application of mathematics. These systems can be completely deterministic, but...it may be possible too to control their behavior by intervention through "controls". The theory of optimal control is concerned with determining such controls which, at minimum cost, either direct the system along a given trajectory or enable it to reach a given point in its state space. This textbook is a straightforward introduction to the theory of optimal control with an emphasis on presenting many different applications. Professor Hocking has taken pains to ensure that the theory is developed to display the main themes of the arguments but without using sophisticated mathematical tools. Problems in this setting can arise across a wide range of subjects and there are illustrative examples of systems from fields as diverse as dynamics, economics, population control, and medicine. Throughout there are many worked examples, and numerous exercises (with solutions) are provided. Systems that evolve with time occur frequently in nature and modelling the behavior of such systems provides an important application of mathematics. These systems can be completely deterministic, but it may be possible too to control their behavior by intervention through "controls". The theory of optimal control is concerned with determining such controls which, at minimum cost, either direct the system along a given trajectory or enable it to reach a given point in its state space. This textbook is a straightforward introduction to the theory of optimal control with an emphasis on presenting many different applications. Professor Hocking has taken pains to ensure that the theory is developed to display the main themes of the arguments but without using sophisticated mathematical tools. Problems in this setting can arise across a wide range of subjects and there are illustrative examples of systems from fields as diverse as dynamics, economics, population control, and medicine. Throughout there are many worked examples, and numerous exercises (with solutions) are provided. 続きを見る |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
|---|---|---|---|---|---|---|---|---|---|---|
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中央図 自動書庫 | 501.9/H 81/1 | 1991 |
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068172191015328 |
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書誌詳細
| 一般注記 | Including bibliographical reference and index |
|---|---|
| 著者標目 | *Hocking, Leslie M. |
| 件 名 | PRECIS:Optimal control theory LCSH:Control theory LCSH:Mathematical optimization |
| 分 類 | LCC:QA402.3 DC20:629.8312 |
| 書誌ID | 1000115250 |
| ISBN | 0198596758 |
| NCID | BA11796619 |
| 巻冊次 | ISBN:0198596758 : pbk ; ISBN:0198596820 |
| NBN | B9044845 |
| 登録日 | 2009.09.10 |
| 更新日 | 2009.09.10 |
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