Observation and Control for Operator Semigroups

• Main Authors: Tucsnak, Marius (Author), Weiss, George (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2009.
• Series: Birkhäuser Advanced Texts / Basler Lehrbücher
• Subjects: Mathematics.; Operator theory.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; System theory.; Applications of Mathematics.; Systems Theory, Control.; Partial Differential Equations.; Operator Theory.

Table of Contents:

• 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.