Linear delay-differential systems with commensurate delays : an algebraic approach /
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...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[2002]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1770. |
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (vi, 176 pages) |
| Bibliography: | Includes bibliographical references (pages [169]-174) and index. |
| ISBN: | 9783540455431 (electronic bk.) 3540455434 (electronic bk.) |
| ISSN: | 0075-8434 ; |