Well-Posed Linear Systems. Encyclopedia of Mathematics and Its Applications 103

Other author Staffans, Olof
Format Electronic
Publication InfoCambridge : Cambridge University Press La Vergne : MyiLibrary [Distributor]
Description796 p.
Supplemental ContentFull text available from eBooks on EBSCOhost

Summary Annotation 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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ISBN9781280431135
ISBN128043113X (E-Book) Active Record
Standard identifier# 9781280431135
Stock number00054755

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