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portada topics in multidimensional linear systems theory (in English)
Type
Physical Book
Author
Language
English
Pages
164
ISBN
1852333367
ISBN13
9781852333362
Categories

topics in multidimensional linear systems theory (in English)

Zerz (Author) · springer publishing map · Physical Book

topics in multidimensional linear systems theory (in English) - zerz

Physical Book

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Synopsis "topics in multidimensional linear systems theory (in English)"

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.

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