Marius Tucsnak & George Weiss 
Observation and Control for Operator Semigroups [PDF ebook] 

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This book studies observation and control operators for linear systems where the free evolution of the state can be described by an operator semigroup on a Hilbert space. It includes a large number of examples coming mostly from partial differential equations.

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Table of Content

Observability and Controllability for Finite-dimensional Systems.- Operator Semigroups.- Semigroups of Contractions.- Control and Observation Operators.- Testing Admissibility.- Observability.- Observation for the Wave Equation.- Non-harmonic Fourier Series and Exact Observability.- Observability for Parabolic Equations.- Boundary Control Systems.- Controllability.- Appendix I: Some Background on Functional Analysis.- Appendix II: Some Background on Sobolev Spaces.- Appendix III: Some Background on Differential Calculus.- Appendix IV: Unique Continuation for Elliptic Operators.

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Language English ● Format PDF ● Pages 483 ● ISBN 9783764389949 ● Publisher Springer Basel ● City Basel ● Country CH ● Published 2009 ● Downloadable 24 months ● Currency EUR ● ID 2205945 ● Copy protection Adobe DRM
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