Dynamic Programming for Impulse Feedback and Fast Controls: The Linear Systems Case (Hardcover)
暫譯: 脈衝回饋與快速控制的動態規劃:線性系統案例 (精裝版)
Kurzhanski, Alexander B., Daryin, Alexander N.
- 出版商: Springer
- 出版日期: 2019-03-30
- 售價: $6,780
- 貴賓價: 9.5 折 $6,441
- 語言: 英文
- 頁數: 275
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 1447174364
- ISBN-13: 9781447174363
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商品描述
Dynamic Programming for Impulse Feedback and Fast Controls offers a description of feedback control in the class of impulsive inputs. This book deals with the problem of closed-loop impulse control based on generalization of dynamic programming techniques in the form of variational inequalities of the Hamilton-Jacobi-Bellman type. It provides exercises and examples in relation to software, such as techniques for regularization of ill-posed problems. It also gives an introduction to applications such as hybrid dynamics, control in arbitrary small time, and discontinuous trajectories.
This book walks the readers through:
- the design and description of feedback solutions for impulse controls;
- the explanation of impulses of higher order that are derivatives of delta functions;
- the description of their physically realizable approximations - the fast controls and their approximations;
- the treatment of uncertainty in impulse control and the applications of impulse feedback.
Of interest to both academics and graduate students in the field of control theory and applications, the book also protects users from common errors, such as inappropriate solution attempts, by indicating Hamiltonian techniques for hybrid systems with resets.
商品描述(中文翻譯)
《動態規劃於脈衝回饋與快速控制》提供了脈衝輸入類別中回饋控制的描述。本書處理基於動態規劃技術的一般化的閉環脈衝控制問題,這些技術以哈密頓-雅可比-貝爾曼(Hamilton-Jacobi-Bellman)型的變分不等式形式呈現。它提供了與軟體相關的練習和範例,例如不適定問題的正則化技術。它還介紹了應用,如混合動力學、任意小時間的控制以及不連續軌跡。
本書引導讀者了解:
- 脈衝控制的回饋解的設計與描述;
- 高階脈衝的解釋,這些脈衝是德爾塔函數的導數;
- 其物理可實現近似的描述 - 快速控制及其近似;
- 脈衝控制中的不確定性處理及脈衝回饋的應用。
本書對於控制理論及其應用領域的學術界和研究生都具有興趣,並通過指出具有重置的混合系統的哈密頓技術,幫助用戶避免常見錯誤,例如不當的解決嘗試。
作者簡介
Alexander B. Kurzhanski was born in 1939. He graduated with honours in electrical engineering at the Technical University of Ural, Sverdlovsk, USSR (1962). He did his graduate studies in mathematics and mechanics at classical University of Ural (1962-1965), having received his PhD-equivalent degree in 1965 and habilitation doctorate in 1971. He became full professor in 1974. In 1967-1984 he was at Institute of Mathematics and Mechanics, Ural Branch, Academy of Sciences of USSR as a Senior Researcher, Head of Department and finally Director. He was Chairman of Systems and Decision Sciences Program, Deputy Director at IIASA (the International Institute for Applied Systems Analysis), Laxenburg, Austria (1984-1992). He is Head of Department of Systems Analysis, Lomonosov Moscow State University (MSU), Faculty of Computational Mathematics and Cybernetics (1992-present) and also a distinguished professor of MSU (1999). He was elected associate member of the Russian (former Soviet) Academy of Sciences in 1981 and Full Member in 1990. He is Chairman of Russian National Committee on Automatic Control (the IFAC NMO, 1998-present). He also holds a visiting research position at UC-Berkeley, USA. His research interests and achievements are in the field of estimation and control under uncertainty and incomplete (realistic) information, feedback control of complex systems, inverse problems of mathematical physics, computational methods in dynamics and control and mathematical modeling for applied systems analysis.
Alexander N. Daryin was born in 1979. He graduated with honours from the Faculty of Computational Mathematics and Cybernetics at Lomonosov Moscow State University in 2001. He did his graduate studies in mathematics (pure and applied) at same faculty (2001-2004). He received PhD-equivalent degree in 2004. He worked as an associate professor at same faculty, Department of Systems Analysis (2004-2014). He currently works at Google Research in Zurich. He authored or coauthored more than 25 research journal and conference papers. His interests lie in the theory and applications of feedback control for complex systems, including control under uncertainty, impulse control and computational methods.
作者簡介(中文翻譯)
亞歷山大·B·庫爾詹斯基於1939年出生。他於1962年在蘇聯斯維爾德洛夫斯克的烏拉爾技術大學以優異成績畢業,專攻電機工程。他在烏拉爾古典大學進行數學和力學的研究生學習(1962-1965),並於1965年獲得博士學位等同資格,1971年獲得博士後學位。他於1974年成為正教授。在1967年至1984年間,他在蘇聯科學院烏拉爾分院的數學與力學研究所擔任高級研究員、部門負責人,最終成為所長。他於1984年至1992年擔任奧地利拉克森堡的國際應用系統分析研究所(IIASA)系統與決策科學計畫的主席及副所長。他是莫斯科國立大學(MSU)計算數學與控制論系的系主任(1992年至今),並於1999年成為該校的傑出教授。他於1981年當選為俄羅斯(前蘇聯)科學院的副會員,1990年成為正式會員。他是俄羅斯自動控制國家委員會(IFAC NMO,1998年至今)的主席。他還在美國加州大學伯克利分校擔任訪問研究職位。他的研究興趣和成就包括在不確定性和不完整(現實)信息下的估計與控制、複雜系統的反饋控制、數學物理的逆問題、動力學與控制的計算方法以及應用系統分析的數學建模。
亞歷山大·N·達林於1979年出生。他於2001年在莫斯科國立大學計算數學與控制論系以優異成績畢業。他在同一系所進行數學(純數學和應用數學)的研究生學習(2001-2004),並於2004年獲得博士學位等同資格。他曾在同一系所擔任副教授,系統分析部門(2004-2014)。目前他在谷歌研究(Google Research)蘇黎世辦公室工作。他是25篇以上研究期刊和會議論文的作者或合著者。他的研究興趣包括複雜系統的反饋控制理論及其應用,包括不確定性下的控制、脈衝控制和計算方法。