Observation and control for operator semigroups

The evolution of the state of many systems modeled by linear partial di?erential equations (PDEs) or linear delay di?erential equations can be described by ope- torsemigroups.Thestate ofsucha systemis anelementin anin?nite-dimensional normed space, whence the name in?nite-dimensional linear system ....

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Bibliografische gegevens
Hoofdauteur: Tucsnak, Marius, 1960-...., professeur de mathématiques
Formaat: Livre numérique
Taal:Anglais
Gepubliceerd in: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Reeks:Birkhäuser Advanced Texts Basler Lehrbücher
Onderwerpen:
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Opmerking: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Observation and Control for Operator Semigroups, Texte imprimé, 9783764399078
• Observation and control for operator semigroups, Marius Tucsnak, George Weiss, 2009, Basel, Birkhäuser, 1 vol. (XI-483 p.), Birkhäuser advanced texts, 978-3-7643-8993-2
Inhoudsopgave:
  • 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.