The past few decades have witnessed an increasing interest in the field of multidimensional systems theory. This is concerned with systems whose trajectories depend not on one single variable (usually interpreted as time or frequency), but on several independent variables, such as the coordinates of an image.
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.
| ISBN: | 9781852333362 |
| Publication date: | 16th August 2000 |
| Author: | Eva Zerz |
| Publisher: | Springer an imprint of Springer London |
| Format: | Paperback |
| Pagination: | 164 pages |
| Series: | Lecture Notes in Control and Information Sciences |
| Genres: |
Automatic control engineering Cybernetics and systems theory |
The past few decades have witnessed an increasing interest in the field of multidimensional systems theory. This is concerned with systems whose trajectories depend not on one single variable (usually interpreted as time or frequency), but on several independent variables, such as the coordinates of an image.
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.
Topics in Multidimensional Linear Systems Theory features in the following genres: Automatic control engineering, Cybernetics and systems theory
Topics in Multidimensional Linear Systems Theory is available in Paperback
Topics in Multidimensional Linear Systems Theory was written by Eva Zerz and published by Springer an imprint of Springer London
Topics in Multidimensional Linear Systems Theory has 164 pages
Yes it is part of Lecture Notes in Control and Information Sciences series