Numerical Methods for Optimal Control Problems (Springer INdAM Series)
暫譯: 最佳控制問題的數值方法(Springer INdAM 系列)
- 出版商: Springer
- 出版日期: 2019-02-05
- 售價: $4,890
- 貴賓價: 9.5 折 $4,646
- 語言: 英文
- 頁數: 268
- 裝訂: Hardcover
- ISBN: 3030019586
- ISBN-13: 9783030019587
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商品描述
This work presents recent mathematical methods in the area of optimal control with a particular emphasis on the computational aspects and applications. Optimal control theory concerns the determination of control strategies for complex dynamical systems, in order to optimize some measure of their performance. Started in the 60's under the pressure of the "space race" between the US and the former USSR, the field now has a far wider scope, and embraces a variety of areas ranging from process control to traffic flow optimization, renewable resources exploitation and management of financial markets. These emerging applications require more and more efficient numerical methods for their solution, a very difficult task due the huge number of variables. The chapters of this volume give an up-to-date presentation of several recent methods in this area including fast dynamic programming algorithms, model predictive control and max-plus techniques. This book is addressed to researchers, graduate students and applied scientists working in the area of control problems, differential games and their applications.
商品描述(中文翻譯)
本書介紹了在最佳控制領域中的最新數學方法,特別強調計算方面和應用。最佳控制理論關注於為複雜動態系統確定控制策略,以優化其性能的某種度量。該領域始於1960年代,受到美國與前蘇聯之間「太空競賽」的推動,現在的範疇已經擴展得更為廣泛,涵蓋了從過程控制到交通流優化、可再生資源開發以及金融市場管理等多個領域。這些新興應用需要越來越高效的數值方法來解決,這是一項非常困難的任務,因為變數的數量龐大。本卷的各章節提供了該領域幾種最新方法的最新介紹,包括快速動態規劃算法、模型預測控制和最大加法技術。本書適合從事控制問題、微分博弈及其應用的研究人員、研究生和應用科學家。