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Optimal control of ODEs and DAEs /

Gerdts, Matthias.

Optimal control of ODEs and DAEs /

紀錄類型:	書目-語言資料,印刷品 : 單行本
正題名/作者:	Optimal control of ODEs and DAEs // Matthias Gerdts.
作者:	Gerdts, Matthias.
出版者:	Berlin ;De Gruyter Oldenbourg,c2024.
面頁冊數:	x, 474 p. :ill. (some col.) ;24 cm.
標題:	Control theory - Mathematical models. -
ISBN:	9783110797695
ISBN:	3110797690
ISBN:	9783110797893
ISBN:	9783110797930

Optimal control of ODEs and DAEs /
Gerdts, Matthias.

Optimal control of ODEs and DAEs /Matthias Gerdts. - 2nd ed. - Berlin ;De Gruyter Oldenbourg,c2024. - x, 474 p. :ill. (some col.) ;24 cm. - De Gruyter Oldenbourg graduate.

Includes bibliographical references (p. [455]-469) and index.

Intro -- Preface -- Contents -- 1 Introduction -- 2 Infinite optimization problems -- 3 Local minimum principles -- 4 Discretization methods for ODEs and DAEs -- 5 Discretization of optimal control problems -- 6 Real-time control -- 7 Mixed-integer optimal control -- 8 Function space methods -- Bibliography -- Index.

"Ordinary differential equations (ODEs) and differential-algebraic equations (DAEs) are widely used to model control systems in engineering, natural sciences, and economy. Optimal control plays a central role in optimizing such systems and to operate them effi ciently and safely. The intention of this textbook is to provide both, the theoretical and computational tools that are necessary to investigate and to solve optimal control problems with ODEs and DAEs. An emphasis is placed on the interplay between the optimal control problem, which typically is defi ned and analyzed in a Banach space setting, and discretizations thereof, which lead to finite dimensional optimization problems. The theoretical parts of the book require some knowledge of functional analysis, the numerically oriented parts require knowledge from linear algebra and numerical analysis. Practical examples are provided throughout the book for illustration purposes. The book addresses primarily master and PhD students as well as researchers in applied mathematics, but also engineers or scientists with a good background in mathematics. The book serves as a reference in research and teaching and hopefully helps to advance the state-of-the-art in optimal control."--Back cover.

ISBN: 9783110797695NT2637

LCCN: 2023942990Subjects--Topical Terms:

1000154191
Control theory
--Mathematical models.

LC Class. No.: QA402.3 / .G444 2024

Dewey Class. No.: 515/.642

Optimal control of ODEs and DAEs /
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100 1 $a Gerdts, Matthias. $3 1000154190
245 1 0 $a Optimal control of ODEs and DAEs / $c Matthias Gerdts.
250 $a 2nd ed.
260 $a Berlin ; $a Boston : $b De Gruyter Oldenbourg, $c c2024.
300 $a x, 474 p. : $b ill. (some col.) ; $c 24 cm.
490 0 $a De Gruyter Oldenbourg graduate
504 $a Includes bibliographical references (p. [455]-469) and index.
505 0 $a Intro -- Preface -- Contents -- 1 Introduction -- 2 Infinite optimization problems -- 3 Local minimum principles -- 4 Discretization methods for ODEs and DAEs -- 5 Discretization of optimal control problems -- 6 Real-time control -- 7 Mixed-integer optimal control -- 8 Function space methods -- Bibliography -- Index.
520 $a "Ordinary differential equations (ODEs) and differential-algebraic equations (DAEs) are widely used to model control systems in engineering, natural sciences, and economy. Optimal control plays a central role in optimizing such systems and to operate them effi ciently and safely. The intention of this textbook is to provide both, the theoretical and computational tools that are necessary to investigate and to solve optimal control problems with ODEs and DAEs. An emphasis is placed on the interplay between the optimal control problem, which typically is defi ned and analyzed in a Banach space setting, and discretizations thereof, which lead to finite dimensional optimization problems. The theoretical parts of the book require some knowledge of functional analysis, the numerically oriented parts require knowledge from linear algebra and numerical analysis. Practical examples are provided throughout the book for illustration purposes. The book addresses primarily master and PhD students as well as researchers in applied mathematics, but also engineers or scientists with a good background in mathematics. The book serves as a reference in research and teaching and hopefully helps to advance the state-of-the-art in optimal control."--Back cover.
650 0 $a Control theory $x Mathematical models. $3 1000154191
650 0 $a Mathematical optimization. $3 147718