國立高雄大學圖資館 |

Language: English

Back

A course on optimal control

Record Type:	Electronic resources : Monograph/item
Title/Author:	A course on optimal controlby Gjerrit Meinsma, Arjan van der Schaft.
Author:	Meinsma, G.
other author:	Schaft, A. J. van der.
Published:	Cham :Springer Nature Switzerland :2023.
Description:	x, 276 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Control theory.
Online resource:	https://doi.org/10.1007/978-3-031-36655-0
ISBN:	9783031366550$q(electronic bk.)

A course on optimal control
Meinsma, G.

A course on optimal control[electronic resource] /by Gjerrit Meinsma, Arjan van der Schaft. - Cham :Springer Nature Switzerland :2023. - x, 276 p. :ill. (some col.), digital ;24 cm. - Springer undergraduate texts in mathematics and technology,1867-5514. - Springer undergraduate texts in mathematics and technology..

1. Calculus of Variations -- 2. Minimum Principle -- 3. Dynamic Programming -- 4. Linear Quadratic Control -- 5. Glimpses of Related Topics -- A. Background Material -- B. Differential Equations and Lyapunov Functions -- Solutions to Odd Numbered Exercises -- Bibliography -- Index.

This text provides a detailed and self-contained introduction to the core topics of optimal control for finite-dimensional deterministic dynamical systems. Skillfully designed to guide the student through the development of the subject, the book provides a rich collection of examples, exercises, illustrations, and applications, to support comprehension of the material. Solutions to odd-numbered exercises are included, while a complete set of solutions is available to instructors who adopt the text for their class. The book is adaptable to coursework for final year undergraduates in (applied) mathematics or beginning graduate students in engineering. Required mathematical background includes calculus, linear algebra, a basic knowledge of differential equations, as well as a rudimentary acquaintance with control systems. The book has developed out of lecture notes that were tested, adapted, and expanded over many years of teaching. Chapters 1-4 constitute the material for a basic course on optimal control, covering successively the calculus of variations, minimum principle, dynamic programming, and linear quadratic control. The additional Chapter 5 provides brief views to a number of selected topics related to optimal control, which are meant to peak the reader's interest. Some mathematical background is summarized in Appendix A for easy review. Appendix B recalls some of the basics of differential equations and also provides a detailed treatment of Lyapunov stability theory including LaSalle's invariance principle, as occasionally used in Chapters 3 and 4.

ISBN: 9783031366550$q(electronic bk.)

Standard No.: 10.1007/978-3-031-36655-0doiSubjects--Topical Terms:

182248
Control theory.

LC Class. No.: QA402.3

Dewey Class. No.: 629.8312

A course on optimal control
LDR:02932nmm a2200337 a 4500 001 654850
003 DE-He213
005 20240117073658.0
006 m d
007 cr nn 008maaau
008 240524s2023 sz s 0 eng d
020 $a 9783031366550$q(electronic bk.)
020 $a 9783031366543$q(paper)
024 7 $a 10.1007/978-3-031-36655-0 $2 doi
035 $a 978-3-031-36655-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA402.3
072 7 $a GPFC $2 bicssc
072 7 $a SCI064000 $2 bisacsh
072 7 $a GPFC $2 thema
082 0 4 $a 629.8312 $2 23
090 $a QA402.3 $b .M514 2023
100 1 $a Meinsma, G. $3 965904
245 1 2 $a A course on optimal control $h [electronic resource] / $c by Gjerrit Meinsma, Arjan van der Schaft.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2023.
300 $a x, 276 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Springer undergraduate texts in mathematics and technology, $x 1867-5514
505 0 $a 1. Calculus of Variations -- 2. Minimum Principle -- 3. Dynamic Programming -- 4. Linear Quadratic Control -- 5. Glimpses of Related Topics -- A. Background Material -- B. Differential Equations and Lyapunov Functions -- Solutions to Odd Numbered Exercises -- Bibliography -- Index.
520 $a This text provides a detailed and self-contained introduction to the core topics of optimal control for finite-dimensional deterministic dynamical systems. Skillfully designed to guide the student through the development of the subject, the book provides a rich collection of examples, exercises, illustrations, and applications, to support comprehension of the material. Solutions to odd-numbered exercises are included, while a complete set of solutions is available to instructors who adopt the text for their class. The book is adaptable to coursework for final year undergraduates in (applied) mathematics or beginning graduate students in engineering. Required mathematical background includes calculus, linear algebra, a basic knowledge of differential equations, as well as a rudimentary acquaintance with control systems. The book has developed out of lecture notes that were tested, adapted, and expanded over many years of teaching. Chapters 1-4 constitute the material for a basic course on optimal control, covering successively the calculus of variations, minimum principle, dynamic programming, and linear quadratic control. The additional Chapter 5 provides brief views to a number of selected topics related to optimal control, which are meant to peak the reader's interest. Some mathematical background is summarized in Appendix A for easy review. Appendix B recalls some of the basics of differential equations and also provides a detailed treatment of Lyapunov stability theory including LaSalle's invariance principle, as occasionally used in Chapters 3 and 4.
650 0 $a Control theory. $3 182248
650 0 $a Mathematical optimization. $3 183292
650 1 4 $a Systems Theory, Control. $3 274654
700 1 $a Schaft, A. J. van der. $3 467774
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Springer undergraduate texts in mathematics and technology. $3 594729
856 4 0 $u https://doi.org/10.1007/978-3-031-36655-0
950 $a Mathematics and Statistics (SpringerNature-11649)