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Lecture Notes in Economics and Mathematical Systems

Resolution Space, Operators and Systems

Authors: Saeks, R.

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About this book

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.

Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-642-80735-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $139.99
price for USA in USD
  • ISBN 978-3-540-06155-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Resolution Space, Operators and Systems
Authors
Series Title
Lecture Notes in Economics and Mathematical Systems
Series Volume
82
Copyright
1973
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin ยท Heidelberg
eBook ISBN
978-3-642-80735-0
DOI
10.1007/978-3-642-80735-0
Softcover ISBN
978-3-540-06155-7
Series ISSN
0075-8442
Edition Number
1
Number of Pages
X, 270
Topics