Resolution Space, Operators and Systems: 82 (Lecture Notes in Economics and Mathematical Systems, 82) - Tapa blanda

Saeks, R.

 
9783540061557: Resolution Space, Operators and Systems: 82 (Lecture Notes in Economics and Mathematical Systems, 82)
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ISBN 10: 354006155X ISBN 13: 9783540061557
Editorial: Springer Berlin Heidelberg, 1973

Sinopsis

If one takes the intuitive point of view that a system is a black box whose inputs and outputs are time functions or time series it is natural to adopt an operator theoretic approach to the stUdy of such systems. Here the black box is modeled by an operator which maps an input time function into an output time function. Such an approach yields a unification of the continuous (time function) and discrete (time series) theories and simultaneously allows one to formulate a single theory which is valid for time-variable distributed and nonlinear systems. Surprisingly, however, the great potential for such an approach has only recently been realized. Early attempts to apply classical operator theory typically having failed when optimal controllers proved to be non-causal, feedback systems unstable or coupling networks non-lossless. Moreover, attempts to circumvent these difficulties by adding causality or stability constraints to the problems failed when it was realized that these time based concepts were undefined and; in fact, undefinable; in the Hilbert and Banach spaces of classical operator theory.

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Reseña del editor

If one takes the intuitive point of view that a system is a black box whose inputs and outputs are time functions or time series it is natural to adopt an operator theoretic approach to the stUdy of such systems. Here the black box is modeled by an operator which maps an input time function into an output time function. Such an approach yields a unification of the continuous (time function) and discrete (time series) theories and simultaneously allows one to formulate a single theory which is valid for time-variable distributed and nonlinear systems. Surprisingly, however, the great potential for such an approach has only recently been realized. Early attempts to apply classical operator theory typically having failed when optimal controllers proved to be non-causal, feedback systems unstable or coupling networks non-lossless. Moreover, attempts to circumvent these difficulties by adding causality or stability constraints to the problems failed when it was realized that these time based concepts were undefined and; in fact, undefinable; in the Hilbert and Banach spaces of classical operator theory.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer Berlin Heidelberg
Año de publicación
1973
Idioma
Inglés
ISBN 10 
354006155X
ISBN 13 
9783540061557
Encuadernación
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Número de páginas
284
Contacto del fabricante
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Darmstadt
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Alemania

Otras ediciones populares con el mismo título

9780387061559: Resolution space; operators and systems (Lecture notes in economics and mathematical systems)

Edición Destacada

ISBN 10:  038706155X ISBN 13:  9780387061559
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