Well-Posed Linear Systems
Book Details
Format
Hardback or Cased Book
Book Series
Encyclopedia of Mathematics and its Applications
ISBN-10
0521825849
ISBN-13
9780521825849
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Feb 24th, 2005
Print length
794 Pages
Weight
1,485 grams
Dimensions
24.00 x 16.50 x 4.60 cms
Product Classification:
Cybernetics & systems theoryDifferential calculus & equations
Ksh 36,350.00
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Much of the material that the author presents is original and many results have never appeared in book form before. A comprehensive bibliography completes this work which will be indispensable to all working in systems theory, operator theory, delay equations and partial differential equations.
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.
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