Linear Delay-Differential Systems with Commensurate Delays
An Algebraic Approach
176 pages, parution le 21/01/2002
Résumé
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.
Contents
- Introduction.
- The Algebraic Framework.
- The Algebraic Structure of H_0.
- Behaviors of Delay-Differential Systems.
- First-Order Representations.
Index
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Springer |
| Auteur(s) | Heide Gluesing-Luerssen |
| Parution | 21/01/2002 |
| Nb. de pages | 176 |
| Format | 15,5 x 23,5 |
| Couverture | Broché |
| Poids | 287g |
| Intérieur | Noir et Blanc |
| EAN13 | 9783540428213 |
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