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Well-posed linear systems

Author: Olof J Staffans
Publisher: Cambridge, UK ; New York : Cambridge University Press, 2005.
Series: Encyclopedia of mathematics and its applications.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This is the first book dealing with well-posed infinite-dimensional linear systems with an input, a state, and an output in a Hilbert or Banach space setting. It is also the first to describe the class of non-well-posed systems induced by system nodes. The author shows how standard finite-dimensional results from systems theory can be extended to these more general classes of systems, and complements them with new  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Olof J Staffans
ISBN: 0521825849 9780521825849
OCLC Number: 55534878
Description: xviii, 776 pages : illustrations ; 24 cm.
Contents: 1. Introduction and overview --
2. Basic properties of well-posed linear systems --
3. Strongly continuous semigroups --
4. The generators of a well-posed linear system --
5. Compatible and regular systems --
6. Anti-casual, dual, and inverted systems --
7. Feedback --
8. Stabilization and detection --
9. Realizations --
10. Admissibility --
11. Passive and conservative scattering systems --
12. Discrete time systems --
App. 1. Regulated functions --
App. 2. The positive square root and the polar decomposition --
App. 3. Convolutions --
App. 4. Inversion of block matrices.
Series Title: Encyclopedia of mathematics and its applications.
Responsibility: Olof Staffans.
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Abstract:

Indispensable to all working in systems theory, operator theory, delay equations and partial differential equations.  Read more...

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'What is new, even for most experts in this field, is the detailed treatment of generalised well-posed systems, so-called 'system nodes' ... undoubtedly an impressive piece of work ... fully Read more...

 
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