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

Heide Gluesing-Luerssen (Author)

Book Description

ISBN-10: 3540428216 | ISBN-13: 978-3540428213 | Publication Date: December 18, 2001 | Edition: 1

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.

Product Details

• Paperback: 176 pages
• Publisher: Springer; 1 edition (December 18, 2001)
• Language: English
• ISBN-10: 3540428216
• ISBN-13: 978-3540428213
• Product Dimensions: 9 x 6.1 x 0.4 inches
• Shipping Weight: 9.6 ounces (View shipping rates and policies)
• Amazon Best Sellers Rank: #8,034,045 in Books (See Top 100 in Books)

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