Overview
- Only monograph to take this approach to multidimensional systems theory
Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 256)
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Table of contents (7 chapters)
Keywords
About this book
The behavioural approach introduced by J. C. Willems provides a particularly suitable framework for developing a linear systems theory in several variables. The book deals with the classical concepts of autonomy, controllability, observability, and stabilizability. All the tests and criteria given are constructive in the sense that algorithmic versions may be implemented in modern computer algebra systems, using Gröbner basis techniques.
There is a close connection between multidimensional systems theory and robust control of one-dimensional systems with several uncertain parameters. The central link consists in the basic tool of linear fractional transformations. The book concludes with examples from the theory of electrical networks.
Bibliographic Information
Book Title: Topics in Multidimensional Linear Systems Theory
Authors: Eva Zerz
Series Title: Lecture Notes in Control and Information Sciences
DOI: https://doi.org/10.1007/BFb0110139
Publisher: Springer London
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag London 2000
Softcover ISBN: 978-1-85233-336-2Published: 16 August 2000
eBook ISBN: 978-1-84628-566-0Published: 03 October 2007
Series ISSN: 0170-8643
Series E-ISSN: 1610-7411
Edition Number: 1
Number of Pages: XII, 168