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作者 Staffans, Olof J., 1947- author
書名 Well-posed linear systems / Olof Staffans
出版項 Cambridge : Cambridge University Press, 2005
國際標準書號 9780511543197 (electronic bk.)
9780521825849 (paper)
book jacket
說明 1 online resource (xviii, 776 pages) : digital, PDF file(s)
text txt rdacontent
unmediated n rdamedia
volume nc rdacarrier
text file PDF rda
系列 Encyclopedia of mathematics and its applications ; 103
Encyclopedia of mathematics and its applications ; 103
附註 Title from publisher's bibliographic system (viewed on 05 Oct 2015)
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
Many infinite-dimensional linear systems can be modelled in a Hilbert space setting. Others, such as those dealing with heat transfer or population dynamics, need to be set more generally in Banach spaces. 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 results which have no finite-dimensional counterpart. Much of the material presented is original, and many results have never appeared in book form before. A comprehensive bibliography rounds off this work which will be indispensable to all working in systems theory, operator theory, delay equations and partial differential equations
主題 Linear systems
System theory
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