國立虎尾科技大學 |

Optimal Control

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Optimal Control/ by Leonid T. Aschepkov, Dmitriy V. Dolgy, Taekyun Kim, Ravi P. Agarwal.
作者:	Aschepkov, Leonid T.
其他作者:	Dolgy, Dmitriy V.
面頁冊數:	XV, 209 p. 55 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Calculus of variations. -
電子資源:	https://doi.org/10.1007/978-3-319-49781-5
ISBN:	9783319497815

Optimal Control
Aschepkov, Leonid T.

Optimal Control[electronic resource] /by Leonid T. Aschepkov, Dmitriy V. Dolgy, Taekyun Kim, Ravi P. Agarwal. - 1st ed. 2016. - XV, 209 p. 55 illus.online resource.

NOTATIONS -- PREFACE -- INTRODUCTION -- 1. Subject of optimal control -- 2. Mathematical model of controlled object -- 3. Reachability set -- 4. Controllability of linear systems -- 5. Minimum time problem -- 6. Synthesis of optimal system performance -- 7. The observability problem -- 8. Identification problem -- 9. Types of optimal control problems -- 10. Small increments of a trajectory -- 11. The simplest problem of optimal control -- 12. General optimal control problem -- 13. Sufficient optimality conditions -- CONCLUSION -- APPENDIX -- EXAMPLES OF TASKS AND SOLUTIONS -- LITERATURE.

This book is based on lectures from a one-year course at the Far Eastern Federal University (Vladivostok, Russia) as well as on workshops on optimal control offered to students at various mathematical departments at the university level. The main themes of the theory of linear and nonlinear systems are considered, including the basic problem of establishing the necessary and sufficient conditions of optimal processes. In the first part of the course, the theory of linear control systems is constructed on the basis of the separation theorem and the concept of a reachability set. The authors prove the closure of a reachability set in the class of piecewise continuous controls, and the problems of controllability, observability, identification, performance and terminal control are also considered. The second part of the course is devoted to nonlinear control systems. Using the method of variations and the Lagrange multipliers rule of nonlinear problems, the authors prove the Pontryagin maximum principle for problems with mobile ends of trajectories. Further exercises and a large number of additional tasks are provided for use as practical training in order for the reader to consolidate the theoretical material.

ISBN: 9783319497815

Standard No.: 10.1007/978-3-319-49781-5doiSubjects--Topical Terms:

527927
Calculus of variations.

LC Class. No.: QA315-316

Dewey Class. No.: 515.64

Optimal Control
LDR:03229nam a22004215i 4500 001 977411
003 DE-He213
005 20200704173712.0
007 cr nn 008mamaa
008 201211s2016 gw | s |||| 0|eng d
020 $a 9783319497815 $9 978-3-319-49781-5
024 7 $a 10.1007/978-3-319-49781-5 $2 doi
035 $a 978-3-319-49781-5
050 4 $a QA315-316
050 4 $a QA402.3
072 7 $a PBKQ $2 bicssc
072 7 $a MAT005000 $2 bisacsh
072 7 $a PBKQ $2 thema
072 7 $a PBU $2 thema
082 0 4 $a 515.64 $2 23
100 1 $a Aschepkov, Leonid T. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1117521
245 1 0 $a Optimal Control $h [electronic resource] / $c by Leonid T. Aschepkov, Dmitriy V. Dolgy, Taekyun Kim, Ravi P. Agarwal.
250 $a 1st ed. 2016.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a XV, 209 p. 55 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
505 0 $a NOTATIONS -- PREFACE -- INTRODUCTION -- 1. Subject of optimal control -- 2. Mathematical model of controlled object -- 3. Reachability set -- 4. Controllability of linear systems -- 5. Minimum time problem -- 6. Synthesis of optimal system performance -- 7. The observability problem -- 8. Identification problem -- 9. Types of optimal control problems -- 10. Small increments of a trajectory -- 11. The simplest problem of optimal control -- 12. General optimal control problem -- 13. Sufficient optimality conditions -- CONCLUSION -- APPENDIX -- EXAMPLES OF TASKS AND SOLUTIONS -- LITERATURE.
520 $a This book is based on lectures from a one-year course at the Far Eastern Federal University (Vladivostok, Russia) as well as on workshops on optimal control offered to students at various mathematical departments at the university level. The main themes of the theory of linear and nonlinear systems are considered, including the basic problem of establishing the necessary and sufficient conditions of optimal processes. In the first part of the course, the theory of linear control systems is constructed on the basis of the separation theorem and the concept of a reachability set. The authors prove the closure of a reachability set in the class of piecewise continuous controls, and the problems of controllability, observability, identification, performance and terminal control are also considered. The second part of the course is devoted to nonlinear control systems. Using the method of variations and the Lagrange multipliers rule of nonlinear problems, the authors prove the Pontryagin maximum principle for problems with mobile ends of trajectories. Further exercises and a large number of additional tasks are provided for use as practical training in order for the reader to consolidate the theoretical material.
650 0 $a Calculus of variations. $3 527927
650 0 $a System theory. $3 566168
650 1 4 $a Calculus of Variations and Optimal Control; Optimization. $3 593942
650 2 4 $a Systems Theory, Control. $3 669337
700 1 $a Dolgy, Dmitriy V. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1271135
700 1 $a Kim, Taekyun. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1271136
700 1 $a Agarwal, Ravi P. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 684508
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319497808
776 0 8 $i Printed edition: $z 9783319497822
776 0 8 $i Printed edition: $z 9783319842400
856 4 0 $u https://doi.org/10.1007/978-3-319-49781-5
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)