Observation and Control for Operator Semigroups

• Main Authors: Tucsnak, Marius. (Author), Weiss, George. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Basel : Birkhũser Basel, 2009.
• Series: Birkhũser Advanced Texts / Basler Lehrb<U+00fc>cher
• Subjects: Mathematics.; Operator theory.; Differential equations, partial.; Systems theory.; Systems Theory, Control.; Partial Differential Equations.; Operator Theory.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-7643-8994-9

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. The emphasis is on well-posedness, observability and controllability properties. The abstract results are supported by a large nu...

Table of Contents:

• Preface
• 1. Finite-dimensional Systems
• 2. Operator Semigroups
• 3. Semigroups of Contractions
• 4. Control and Observation Operators
• 5. Observability
• 6. Observation for the Wave Equation
• 7. Non-harmonic Fourier Series and Exact Observability
• 8. Observability for Parabolic Equations
• 9. Boundary Control Systems
• 10. Controllability
• Appendices
• References.