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.
Reihe
Auflage
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Scientists, graduate students, libraries
Produkt-Hinweis
Broschur/Paperback
Klebebindung
Illustrationen
Maße
Höhe: 233 mm
Breite: 155 mm
Dicke: 15 mm
Gewicht
ISBN-13
978-1-85233-336-2 (9781852333362)
DOI
Schweitzer Klassifikation
Controllability of multidimensional systems.- Co-prime factorizations of multivariate rational matrices.- Stabilizability.- Strict system equivalence.- First order representations of multidimensional systems.- Linear fractional transformations.- Electrical networks.