Zerz E. Topics in Multidimensional Linear Systems Theory 2000 torrent

Textbook in PDF format

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 Gr?bner 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.
Preface
Organization and Summary
Controllability of Multidimensional Systems
Co-prime Factorizations of Multivariate Rational Matrices
Stabilizability
Strict System Equivalence
First Order Representations of fMultidimensional Systems
Linear Fractional Transformations
Electrical Networks
List of Acronyms
Index