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Linear Operators and Linear Systems: An Analytical Approach to Control Theory (London Mathematical Society Student Texts, Series Number 60) - Softcover

 
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Synopsis

This volume presents an introduction to the common ground between operator theory and linear systems theory. Pure mathematical topics are included such as Hardy spaces, closed operators, the gap metric, semigroups, shift-invariant subspaces, the commutant lifting theorem and almost-periodic functions, which would be suitable for a course in functional analysis. The book also includes applications to partial differential equations, the stability and stabilization of linear systems, power signal spaces, and delay systems, treated from an input/output point of view.

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About the Author

Jonathan R. Partington is a Professor of Applied Functional Analysis at Leeds University. He has served as editor of Journal of the London Mathematical Society and is coordinator of Leeds node in European Research Training network in Analysis and Operators. Author of some 100 papers in mathematics and engineering, he is also the author of An Introduction to Hankel Operators and Interpolation, Identification and Sampling.

Review

"The text is well suited for an advanced course on operator theory or mathematical system theory."
A. Bultheel, Mathematical Reviews

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  • PublisherCambridge University Press
  • Publication date2004
  • ISBN 10 0521546192
  • ISBN 13 9780521546195
  • BindingPaperback
  • LanguageEnglish
  • Edition number1
  • Number of pages178

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