Topics in multidimensional linear 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...

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Detalles Bibliográficos
Autor Principal: Zerz, Eva
Formato: Livre numérique
Idioma:Anglais
Publicado: London ; Paris [etc.] : Springer-Verlag London Limited : Springer e-books [20..].
Cham : Springer Nature
Series:Lecture notes in control and information sciences 256
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Edition sous un autre format:• Topics in multidimensional linear systems theory, Eva Zerz, London, Springer, 2000, X-164 p., Lecture notes in control and information sciences, 1-85233-336-7
• Topics in Multidimensional Linear Systems Theory, Texte imprimé, 9781447139454
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Résumé: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.
descrición da copia:Archives Springer e-books (Licence nationale)
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ISBN:9781846285660 (PDF)
9781846285660
ISSN:1610-7411
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