Linear Delay-Differential Systems with Commensurate Delays: An Algebraic Approach von Gluesing-Luerssen, Heide: New PF (2001)

Beschreibung

Bestandsnummer des Verk�ufers 6666-IUK-9783540428213

Bibliografische Details

Titel: Linear Delay-Differential Systems with Commensurate Delays: An Algebraic Approach
Verlag: Springer 2001-12
Erscheinungsjahr: 2001
Sprache: Englisch
ISBN-10: 3540428216
ISBN-13: 9783540428213
Einband: PF
Zustand: New

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Inhaltsangabe

The book deals with linear time-invariant delay-differential equations with commensurated point delays in a control-theoretic context. The aim is to show that with a suitable algebraic setting a behavioral theory for dynamical systems described by such equations can be developed. The central object is an operator algebra which turns out to be an elementary divisor domain and thus provides the main tool for investigating the corresponding matrix equations. The book also reports the results obtained so far for delay-differential systems with noncommensurate delays. Moreover, whenever possible it points out similarities and differences to the behavioral theory of multidimensional systems, which is based on a great deal of algebraic structure itself. The presentation is introductory and self-contained. It should also be accessible to readers with no background in delay-differential equations or behavioral systems theory. The text should interest researchers and graduate students.

Rese�a del editor

The book deals with linear time-invariant delay-differential equations with commensurated point delays in a control-theoretic context. The aim is to show that with a suitable algebraic setting a behavioral theory for dynamical systems described by such equations can be developed. The central object is an operator algebra which turns out to be an elementary divisor domain and thus provides the main tool for investigating the corresponding matrix equations. The book also reports the results obtained so far for delay-differential systems with noncommensurate delays. Moreover, whenever possible it points out similarities and differences to the behavioral theory of multidimensional systems, which is based on a great deal of algebraic structure itself. The presentation is introductory and self-contained. It should also be accessible to readers with no background in delay-differential equations or behavioral systems theory. The text should interest researchers and graduate students.

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