Topics in Multidimensional Linear Systems Theory (Lecture Notes in Control and Information Sciences, 256) - Softcover

Zerz, Eva

Softcover

ISBN 10: 1852333367 ISBN 13: 9781852333362

Publisher: Springer, 2000

Synopsis

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.

Edition details

• Publisher: Springer
• Publication date: 2000
• Language: English
• ISBN 10: 1852333367
• ISBN 13: 9781852333362
• Binding: Paperback
• Number of pages: 164