Nonlinear Optimal Control Theory
暫譯: 非線性最佳控制理論
Berkovitz, Leonard David, Medhin, Negash G.
- 出版商: CRC
- 出版日期: 2024-10-14
- 售價: $2,710
- 貴賓價: 9.5 折 $2,575
- 語言: 英文
- 頁數: 392
- 裝訂: Quality Paper - also called trade paper
- ISBN: 103292067X
- ISBN-13: 9781032920672
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商品描述
Nonlinear Optimal Control Theory presents a deep, wide-ranging introduction to the mathematical theory of the optimal control of processes governed by ordinary differential equations and certain types of differential equations with memory. Many examples illustrate the mathematical issues that need to be addressed when using optimal control techniques in diverse areas.
Drawing on classroom-tested material from Purdue University and North Carolina State University, the book gives a unified account of bounded state problems governed by ordinary, integrodifferential, and delay systems. It also discusses Hamilton-Jacobi theory. By providing a sufficient and rigorous treatment of finite dimensional control problems, the book equips readers with the foundation to deal with other types of control problems, such as those governed by stochastic differential equations, partial differential equations, and differential games.
商品描述(中文翻譯)
《非線性最佳控制理論》提供了對由常微分方程和某些類型的記憶微分方程所支配的過程最佳控制的數學理論的深入且廣泛的介紹。許多例子說明了在不同領域使用最佳控制技術時需要解決的數學問題。
本書基於普渡大學和北卡羅來納州立大學的課堂測試材料,統一闡述了由常微分方程、積分微分方程和延遲系統所支配的有界狀態問題。它還討論了哈密頓-雅可比理論。通過對有限維控制問題提供充分且嚴謹的處理,本書使讀者具備處理其他類型控制問題的基礎,例如由隨機微分方程、偏微分方程和微分博弈所支配的問題。
作者簡介
作者簡介(中文翻譯)
萊昂納德·大衛·貝爾科維茨,內加什·G·梅丁