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Well Posed Linear Systems Encyclopedia of Mathematics and its Applications Series Number 103 1st Edition by Olof Staffans 0521825849 9780521825849

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Well Posed Linear Systems Encyclopedia of Mathematics and its Applications Series Number 103 Staffans Digital Instant Download

Author(s): Staffans, Olof
ISBN(s): 9780521825849, 0521825849
Edition: Illustrated
File Details: PDF, 10.17 MB
Year: 2005
Language: english
SKU: EB-30070720 Category: Tags: ,

Well Posed Linear Systems Encyclopedia of Mathematics and its Applications Series Number 103 1st Edition by Olof Staffans – Ebook PDF Instant Download/Delivery: 0521825849, 9780521825849

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Product details:

ISBN 10: 0521825849 

ISBN 13: 9780521825849

Author: Olof Staffans

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.

Table of contents:

1 Introduction and overview

2 Basic properties of well-posed linear systems

3 Strongly continuous semigroups

4 The generators of well-posed linear system

5 Compatible and regular systems

6 Anti-causal, dual, and inverted systems

7 Feedback

8 Stabilization and detection

9 Realizations

10 Admissibility

11 Passive and conservative scattering systems

12 Discrete time systems

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Tags: Olof Staffans, Posed, Encyclopedia, Mathematics, Applications