ENGLISH

Linear Delay-Differential Systems with Commensurate Delays: An Algebraic Approach

By Heide Gluesing-Luerssen (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2002
ISBN
3540428216, 9783540428213
DOI
10.1007/82934
Open Library ID
OL9057498M
Language
english
Format
PDF
Filesize
12 MB (12857554 bytes)
Series
Lecture Notes in Mathematics 1770
Edition
1
Pages
178\180
Topic
Mathematics Algebra
Library
mexmat
Time added
2009-07-20 03:45:11
Calculus of Variations and Optimal Control; Optimi

Description

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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