東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Introduction to infinite-dimensional...

Curtain, Ruth.

FindBook

Google Book

Amazon

博客來

Introduction to infinite-dimensional systems theory = a state-space approach /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Introduction to infinite-dimensional systems theory/ by Ruth Curtain, Hans Zwart.
其他題名:	a state-space approach /
作者:	Curtain, Ruth.
其他作者:	Zwart, Hans.
出版者:	New York, NY :Springer New York : : 2020.,
面頁冊數:	xii, 752 p. :ill., digital ;24 cm.
內容註:	Introduction -- Semigroup Theory -- Classes of Semigroups -- Stability -- The Cauchy Problem -- State Linear Systems -- Input-Output Maps -- Stabilizability and Detectability -- Linear Quadratic Optimal Control -- Boundary Control Systems -- Existence and Stability for Semilinear Differential Equations -- Appendix.
Contained By:	Springer eBooks
標題:	System analysis. -
電子資源:	https://doi.org/10.1007/978-1-0716-0590-5
ISBN:	9781071605905

Introduction to infinite-dimensional systems theory = a state-space approach /
Curtain, Ruth.

Introduction to infinite-dimensional systems theorya state-space approach /[electronic resource] :by Ruth Curtain, Hans Zwart. - New York, NY :Springer New York :2020. - xii, 752 p. :ill., digital ;24 cm. - Texts in applied mathematics,v.710939-2475 ;. - Texts in applied mathematics ;v.71..

Introduction -- Semigroup Theory -- Classes of Semigroups -- Stability -- The Cauchy Problem -- State Linear Systems -- Input-Output Maps -- Stabilizability and Detectability -- Linear Quadratic Optimal Control -- Boundary Control Systems -- Existence and Stability for Semilinear Differential Equations -- Appendix.

Infinite-dimensional systems is a well established area of research with an ever increasing number of applications. Given this trend, there is a need for an introductory text treating system and control theory for this class of systems in detail. This textbook is suitable for courses focusing on the various aspects of infinite-dimensional state space theory. This book is made accessible for mathematicians and post-graduate engineers with a minimal background in infinite-dimensional system theory. To this end, all the system theoretic concepts introduced throughout the text are illustrated by the same types of examples, namely, diffusion equations, wave and beam equations, delay equations and the new class of platoon-type systems. Other commonly met distributed and delay systems can be found in the exercise sections. Every chapter ends with such a section, containing about 30 exercises testing the theoretical concepts as well. An extensive account of the mathematical background assumed is contained in the appendix.

ISBN: 9781071605905

Standard No.: 10.1007/978-1-0716-0590-5doiSubjects--Topical Terms:

545616
System analysis.

LC Class. No.: QA402 / .C878 2020

Dewey Class. No.: 004.21

Introduction to infinite-dimensional systems theory = a state-space approach /
LDR:02421nmm a2200337 a 4500 001 2217241
003 DE-He213
005 20200806111857.0
006 m d
007 cr nn 008maaau
008 201120s2020 nyu s 0 eng d
020 $a 9781071605905 $q (electronic bk.)
020 $a 9781071605882 $q (paper)
024 7 $a 10.1007/978-1-0716-0590-5 $2 doi
035 $a 978-1-0716-0590-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA402 $b .C878 2020
072 7 $a GPFC $2 bicssc
072 7 $a SCI064000 $2 bisacsh
072 7 $a GPFC $2 thema
082 0 4 $a 004.21 $2 23
090 $a QA402 $b .C978 2020
100 1 $a Curtain, Ruth. $3 3450332
245 1 0 $a Introduction to infinite-dimensional systems theory $h [electronic resource] : $b a state-space approach / $c by Ruth Curtain, Hans Zwart.
260 $a New York, NY : $b Springer New York : $b Imprint: Springer, $c 2020.
300 $a xii, 752 p. : $b ill., digital ; $c 24 cm.
490 1 $a Texts in applied mathematics, $x 0939-2475 ; $v v.71
505 0 $a Introduction -- Semigroup Theory -- Classes of Semigroups -- Stability -- The Cauchy Problem -- State Linear Systems -- Input-Output Maps -- Stabilizability and Detectability -- Linear Quadratic Optimal Control -- Boundary Control Systems -- Existence and Stability for Semilinear Differential Equations -- Appendix.
520 $a Infinite-dimensional systems is a well established area of research with an ever increasing number of applications. Given this trend, there is a need for an introductory text treating system and control theory for this class of systems in detail. This textbook is suitable for courses focusing on the various aspects of infinite-dimensional state space theory. This book is made accessible for mathematicians and post-graduate engineers with a minimal background in infinite-dimensional system theory. To this end, all the system theoretic concepts introduced throughout the text are illustrated by the same types of examples, namely, diffusion equations, wave and beam equations, delay equations and the new class of platoon-type systems. Other commonly met distributed and delay systems can be found in the exercise sections. Every chapter ends with such a section, containing about 30 exercises testing the theoretical concepts as well. An extensive account of the mathematical background assumed is contained in the appendix.
650 0 $a System analysis. $3 545616
650 1 4 $a Systems Theory, Control. $3 893834
650 2 4 $a Control and Systems Theory. $3 3381515
700 1 $a Zwart, Hans. $3 3450333
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Texts in applied mathematics ; $v v.71. $3 3450334
856 4 0 $u https://doi.org/10.1007/978-1-0716-0590-5
950 $a Mathematics and Statistics (Springer-11649)