東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Optimal control of dynamic systems d...

Ahmed, N. U.

Linked to FindBook

Google Book

Amazon

博客來

Optimal control of dynamic systems driven by vector measures = theory and applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Optimal control of dynamic systems driven by vector measures/ by N. U. Ahmed, Shian Wang.
Reminder of title:	theory and applications /
Author:	Ahmed, N. U.
other author:	Wang, Shian.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xv, 320 p. :ill., digital ;24 cm.
[NT 15003449]:	1 Mathematical Preliminaries -- 2 Linear Systems -- 3 Nonlinear Systems -- 4 Optimal Control: Existence Theory -- Optimal Control: Necessary Conditions of Optimality -- 6 Stochastic Systems Controlled by Vector Measures -- 7 Applications to Physical Examples -- Bibliography -- Index.
Contained By:	Springer Nature eBook
Subject:	Control theory. -
Online resource:	https://doi.org/10.1007/978-3-030-82139-5
ISBN:	9783030821395

Optimal control of dynamic systems driven by vector measures = theory and applications /
Ahmed, N. U.

Optimal control of dynamic systems driven by vector measurestheory and applications /[electronic resource] :by N. U. Ahmed, Shian Wang. - Cham :Springer International Publishing :2021. - xv, 320 p. :ill., digital ;24 cm.

1 Mathematical Preliminaries -- 2 Linear Systems -- 3 Nonlinear Systems -- 4 Optimal Control: Existence Theory -- Optimal Control: Necessary Conditions of Optimality -- 6 Stochastic Systems Controlled by Vector Measures -- 7 Applications to Physical Examples -- Bibliography -- Index.

This book is devoted to the development of optimal control theory for finite dimensional systems governed by deterministic and stochastic differential equations driven by vector measures. The book deals with a broad class of controls, including regular controls (vector-valued measurable functions), relaxed controls (measure-valued functions) and controls determined by vector measures, where both fully and partially observed control problems are considered. In the past few decades, there have been remarkable advances in the field of systems and control theory thanks to the unprecedented interaction between mathematics and the physical and engineering sciences. Recently, optimal control theory for dynamic systems driven by vector measures has attracted increasing interest. This book presents this theory for dynamic systems governed by both ordinary and stochastic differential equations, including extensive results on the existence of optimal controls and necessary conditions for optimality. Computational algorithms are developed based on the optimality conditions, with numerical results presented to demonstrate the applicability of the theoretical results developed in the book. This book will be of interest to researchers in optimal control or applied functional analysis interested in applications of vector measures to control theory, stochastic systems driven by vector measures, and related topics. In particular, this self-contained account can be a starting point for further advances in the theory and applications of dynamic systems driven and controlled by vector measures.

ISBN: 9783030821395

Standard No.: 10.1007/978-3-030-82139-5doiSubjects--Topical Terms:

535880
Control theory.

LC Class. No.: QA402.3 / .A46 2021

Dewey Class. No.: 629.8312

Optimal control of dynamic systems driven by vector measures = theory and applications /
LDR:02910nmm a2200325 a 4500 001 2251453
003 DE-He213
005 20210913180610.0
006 m d
007 cr nn 008maaau
008 220215s2021 sz s 0 eng d
020 $a 9783030821395 $q (electronic bk.)
020 $a 9783030821388 $q (paper)
024 7 $a 10.1007/978-3-030-82139-5 $2 doi
035 $a 978-3-030-82139-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA402.3 $b .A46 2021
072 7 $a PBK $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBK $2 thema
082 0 4 $a 629.8312 $2 23
090 $a QA402.3 $b .A286 2021
100 1 $a Ahmed, N. U. $q (Nasir Uddin) $3 2016390
245 1 0 $a Optimal control of dynamic systems driven by vector measures $h [electronic resource] : $b theory and applications / $c by N. U. Ahmed, Shian Wang.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xv, 320 p. : $b ill., digital ; $c 24 cm.
505 0 $a 1 Mathematical Preliminaries -- 2 Linear Systems -- 3 Nonlinear Systems -- 4 Optimal Control: Existence Theory -- Optimal Control: Necessary Conditions of Optimality -- 6 Stochastic Systems Controlled by Vector Measures -- 7 Applications to Physical Examples -- Bibliography -- Index.
520 $a This book is devoted to the development of optimal control theory for finite dimensional systems governed by deterministic and stochastic differential equations driven by vector measures. The book deals with a broad class of controls, including regular controls (vector-valued measurable functions), relaxed controls (measure-valued functions) and controls determined by vector measures, where both fully and partially observed control problems are considered. In the past few decades, there have been remarkable advances in the field of systems and control theory thanks to the unprecedented interaction between mathematics and the physical and engineering sciences. Recently, optimal control theory for dynamic systems driven by vector measures has attracted increasing interest. This book presents this theory for dynamic systems governed by both ordinary and stochastic differential equations, including extensive results on the existence of optimal controls and necessary conditions for optimality. Computational algorithms are developed based on the optimality conditions, with numerical results presented to demonstrate the applicability of the theoretical results developed in the book. This book will be of interest to researchers in optimal control or applied functional analysis interested in applications of vector measures to control theory, stochastic systems driven by vector measures, and related topics. In particular, this self-contained account can be a starting point for further advances in the theory and applications of dynamic systems driven and controlled by vector measures.
650 0 $a Control theory. $3 535880
650 0 $a System analysis. $3 545616
650 0 $a Vector-valued measures. $3 726597
650 0 $a Mathematical optimization. $3 517763
650 1 4 $a Analysis. $3 891106
650 2 4 $a Probability Theory and Stochastic Processes. $3 891080
650 2 4 $a Systems Theory, Control. $3 893834
650 2 4 $a Optimization. $3 891104
700 1 $a Wang, Shian. $3 3518487
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-030-82139-5
950 $a Mathematics and Statistics (SpringerNature-11649)