國立虎尾科技大學 |

Optimal Impulsive Control = The Extension Approach /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Optimal Impulsive Control/ by Aram Arutyunov, Dmitry Karamzin, Fernando Lobo Pereira.
其他題名:	The Extension Approach /
作者:	Arutyunov, Aram.
其他作者:	Karamzin, Dmitry.
面頁冊數:	XXIII, 174 p. 4 illus., 3 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Control engineering. -
電子資源:	https://doi.org/10.1007/978-3-030-02260-0
ISBN:	9783030022600

Optimal Impulsive Control = The Extension Approach /
Arutyunov, Aram.

Optimal Impulsive ControlThe Extension Approach /[electronic resource] :by Aram Arutyunov, Dmitry Karamzin, Fernando Lobo Pereira. - 1st ed. 2019. - XXIII, 174 p. 4 illus., 3 illus. in color.online resource. - Lecture Notes in Control and Information Sciences,4770170-8643 ;. - Lecture Notes in Control and Information Sciences,457.

Introduction -- Linear Impulsive Control Problems -- Impulsive Control Problems under Borel Measurability -- Impulsive Control Problems under the Frobenius Condition -- Impulsive Control Problems without the Frobenius Condition -- Impulsive Control Problems with State Constraints -- Impulsive Control Problems with Mixed Constraints -- General Nonlinear Impulsive Control Problems.

Optimal Impulsive Control explores the class of impulsive dynamic optimization problems—problems that stem from the fact that many conventional optimal control problems do not have a solution in the classical setting—which is highly relevant with regard to engineering applications. The absence of a classical solution naturally invokes the so-called extension, or relaxation, of a problem, and leads to the notion of generalized solution which encompasses the notions of generalized control and trajectory; in this book several extensions of optimal control problems are considered within the framework of optimal impulsive control theory. In this framework, the feasible arcs are permitted to have jumps, while the conventional absolutely continuous trajectories may fail to exist. The authors draw together various types of their own results, centered on the necessary conditions of optimality in the form of Pontryagin’s maximum principle and the existence theorems, which shape a substantial body of optimal impulsive control theory. At the same time, they present optimal impulsive control theory in a unified framework, introducing the different paradigmatic problems in increasing order of complexity. The rationale underlying the book involves addressing extensions increasing in complexity from the simplest case provided by linear control systems and ending with the most general case of a totally nonlinear differential control system with state constraints. The mathematical models presented in Optimal Impulsive Control being encountered in various engineering applications, this book will be of interest to both academic researchers and practising engineers.

ISBN: 9783030022600

Standard No.: 10.1007/978-3-030-02260-0doiSubjects--Topical Terms:

1249728
Control engineering.

LC Class. No.: TJ212-225

Dewey Class. No.: 629.8

Optimal Impulsive Control = The Extension Approach /
LDR:03547nam a22004095i 4500 001 1015839
003 DE-He213
005 20200629135601.0
007 cr nn 008mamaa
008 210106s2019 gw | s |||| 0|eng d
020 $a 9783030022600 $9 978-3-030-02260-0
024 7 $a 10.1007/978-3-030-02260-0 $2 doi
035 $a 978-3-030-02260-0
050 4 $a TJ212-225
072 7 $a TJFM $2 bicssc
072 7 $a TEC004000 $2 bisacsh
072 7 $a TJFM $2 thema
082 0 4 $a 629.8 $2 23
100 1 $a Arutyunov, Aram. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1310056
245 1 0 $a Optimal Impulsive Control $h [electronic resource] : $b The Extension Approach / $c by Aram Arutyunov, Dmitry Karamzin, Fernando Lobo Pereira.
250 $a 1st ed. 2019.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a XXIII, 174 p. 4 illus., 3 illus. in color. $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
490 1 $a Lecture Notes in Control and Information Sciences, $x 0170-8643 ; $v 477
505 0 $a Introduction -- Linear Impulsive Control Problems -- Impulsive Control Problems under Borel Measurability -- Impulsive Control Problems under the Frobenius Condition -- Impulsive Control Problems without the Frobenius Condition -- Impulsive Control Problems with State Constraints -- Impulsive Control Problems with Mixed Constraints -- General Nonlinear Impulsive Control Problems.
520 $a Optimal Impulsive Control explores the class of impulsive dynamic optimization problems—problems that stem from the fact that many conventional optimal control problems do not have a solution in the classical setting—which is highly relevant with regard to engineering applications. The absence of a classical solution naturally invokes the so-called extension, or relaxation, of a problem, and leads to the notion of generalized solution which encompasses the notions of generalized control and trajectory; in this book several extensions of optimal control problems are considered within the framework of optimal impulsive control theory. In this framework, the feasible arcs are permitted to have jumps, while the conventional absolutely continuous trajectories may fail to exist. The authors draw together various types of their own results, centered on the necessary conditions of optimality in the form of Pontryagin’s maximum principle and the existence theorems, which shape a substantial body of optimal impulsive control theory. At the same time, they present optimal impulsive control theory in a unified framework, introducing the different paradigmatic problems in increasing order of complexity. The rationale underlying the book involves addressing extensions increasing in complexity from the simplest case provided by linear control systems and ending with the most general case of a totally nonlinear differential control system with state constraints. The mathematical models presented in Optimal Impulsive Control being encountered in various engineering applications, this book will be of interest to both academic researchers and practising engineers.
650 0 $a Control engineering. $3 1249728
650 0 $a Calculus of variations. $3 527927
650 0 $a System theory. $3 566168
650 1 4 $a Control and Systems Theory. $3 1211358
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 593942
650 2 4 $a Systems Theory, Control. $3 669337
700 1 $a Karamzin, Dmitry. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1310057
700 1 $a Lobo Pereira, Fernando. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1070416
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030022594
776 0 8 $i Printed edition: $z 9783030022617
830 0 $a Lecture Notes in Control and Information Sciences, $x 0170-8643 ; $v 457 $3 1254759
856 4 0 $u https://doi.org/10.1007/978-3-030-02260-0
912 $a ZDB-2-INR
912 $a ZDB-2-SXIT
912 $a ZDB-2-LNI
950 $a Intelligent Technologies and Robotics (SpringerNature-42732)
950 $a Intelligent Technologies and Robotics (R0) (SpringerNature-43728)