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The mathematics of networks of linea...

Fuhrmann, Paul A.

The mathematics of networks of linear systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	The mathematics of networks of linear systemsby 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.
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:

200585
Functional analysis.

LC Class. No.: QA320

Dewey Class. No.: 515.7

The mathematics of networks of linear systems
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100 1 $a Fuhrmann, Paul A. $3 558847
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 200585
650 0 $a Linear control systems $x Mathematics. $3 725097
650 0 $a System theory. $3 183989
650 0 $a Control theory $x Mathematical models. $3 492355
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 274063
650 2 4 $a Systems Theory, Control. $3 274654
650 2 4 $a Control. $3 349080
700 1 $a Helmke, Uwe. $3 725096
710 2 $a SpringerLink (Online service) $3 273601
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950 $a Mathematics and Statistics (Springer-11649)