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

The mathematics of networks of linea...

Fuhrmann, Paul A.

Linked to FindBook

Google Book

Amazon

博客來

The mathematics of networks of linear systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	The mathematics of networks of linear systems/ by Paul A. Fuhrmann, Uwe Helmke.
Author:	Fuhrmann, Paul A.
other author:	Helmke, Uwe.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xiv, 662 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- Rings and Modules of Polynomials -- Functional Models and Shift Spaces -- Linear Systems -- Tensor Products, Bezoutians and Stability -- State Feedback and Output Injection -- Observer Theory -- Nonnegative Matrices and Graph Theory -- Interconnected Systems -- Control of Standard Interconnections -- Synchronization and Consensus -- Control of Ensembles -- References -- Index.
Contained By:	Springer eBooks
Subject:	Functional analysis. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-16646-9
ISBN:	9783319166469 (electronic bk.)

The mathematics of networks of linear systems
Fuhrmann, Paul A.

The mathematics of networks of linear systems[electronic resource] /by Paul A. Fuhrmann, Uwe Helmke. - Cham :Springer International Publishing :2015. - xiv, 662 p. :ill., digital ;24 cm. - Universitext,0172-5939. - Universitext..

Introduction -- Rings and Modules of Polynomials -- Functional Models and Shift Spaces -- Linear Systems -- Tensor Products, Bezoutians and Stability -- State Feedback and Output Injection -- Observer Theory -- Nonnegative Matrices and Graph Theory -- Interconnected Systems -- Control of Standard Interconnections -- Synchronization and Consensus -- Control of Ensembles -- References -- Index.

This book provides the mathematical foundations of networks of linear control systems, developed from an algebraic systems theory perspective. This includes a thorough treatment of questions of controllability, observability, realization theory, as well as feedback control and observer theory. The potential of networks for linear systems in controlling large-scale networks of interconnected dynamical systems could provide insight into a diversity of scientific and technological disciplines. The scope of the book is quite extensive, ranging from introductory material to advanced topics of current research, making it a suitable reference for graduate students and researchers in the field of networks of linear systems. Part I can be used as the basis for a first course in algebraic system theory, while Part II serves for a second, advanced, course on linear systems. Finally, Part III, which is largely independent of the previous parts, is ideally suited for advanced research seminars aimed at preparing graduate students for independent research. "Mathematics of Networks of Linear Systems" contains a large number of exercises and examples throughout the text making it suitable for graduate courses in the area.

ISBN: 9783319166469 (electronic bk.)

Standard No.: 10.1007/978-3-319-16646-9doiSubjects--Topical Terms:

531838
Functional analysis.

LC Class. No.: QA320

Dewey Class. No.: 515.7

The mathematics of networks of linear systems
LDR:02595nmm a2200325 a 4500 001 2006526
003 DE-He213
005 20160105143209.0
006 m d
007 cr nn 008maaau
008 160114s2015 gw s 0 eng d
020 $a 9783319166469 (electronic bk.)
020 $a 9783319166452 (paper)
024 7 $a 10.1007/978-3-319-16646-9 $2 doi
035 $a 978-3-319-16646-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA320
072 7 $a PBF $2 bicssc
072 7 $a MAT002050 $2 bisacsh
082 0 4 $a 515.7 $2 23
090 $a QA320 $b .F959 2015
100 1 $a Fuhrmann, Paul A. $3 2153496
245 1 4 $a The mathematics of networks of linear systems $h [electronic resource] / $c by Paul A. Fuhrmann, Uwe Helmke.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xiv, 662 p. : $b ill., digital ; $c 24 cm.
490 1 $a Universitext, $x 0172-5939
505 0 $a Introduction -- Rings and Modules of Polynomials -- Functional Models and Shift Spaces -- Linear Systems -- Tensor Products, Bezoutians and Stability -- State Feedback and Output Injection -- Observer Theory -- Nonnegative Matrices and Graph Theory -- Interconnected Systems -- Control of Standard Interconnections -- Synchronization and Consensus -- Control of Ensembles -- References -- Index.
520 $a This book provides the mathematical foundations of networks of linear control systems, developed from an algebraic systems theory perspective. This includes a thorough treatment of questions of controllability, observability, realization theory, as well as feedback control and observer theory. The potential of networks for linear systems in controlling large-scale networks of interconnected dynamical systems could provide insight into a diversity of scientific and technological disciplines. The scope of the book is quite extensive, ranging from introductory material to advanced topics of current research, making it a suitable reference for graduate students and researchers in the field of networks of linear systems. Part I can be used as the basis for a first course in algebraic system theory, while Part II serves for a second, advanced, course on linear systems. Finally, Part III, which is largely independent of the previous parts, is ideally suited for advanced research seminars aimed at preparing graduate students for independent research. "Mathematics of Networks of Linear Systems" contains a large number of exercises and examples throughout the text making it suitable for graduate courses in the area.
650 0 $a Functional analysis. $3 531838
650 0 $a Linear control systems $x Mathematics. $3 2153498
650 0 $a System theory. $3 525574
650 0 $a Control theory $x Mathematical models. $3 768552
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 891082
650 2 4 $a Systems Theory, Control. $3 893834
650 2 4 $a Control. $3 1006321
700 1 $a Helmke, Uwe. $3 2153497
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Universitext. $3 812115
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-16646-9
950 $a Mathematics and Statistics (Springer-11649)