Abstract
We study boundary feedback systems for parabolic equations. Along the abstract line of our previous work, we establish some stabilizability theorems together with a duality theorem concerning the two types of systems; the “boundary-output and interior-input” system and the “interior-output and boundary-input” system.
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§1.
Introduction
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§2.
Wellposedness of the Feedback Systems
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§3.
Duality between the Boundary Output-Interior Input System and the Interior Output-Boundary Input System
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§4.
Other Stabilizability Theorems
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§5.
Concluding Remarks Appendix
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Suzuki, T., Yamamoto, M. Observability, controllability, and feedback stabilizability for evolution equations, III. Japan J. Appl. Math. 4, 185 (1987). https://doi.org/10.1007/BF03167773
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DOI: https://doi.org/10.1007/BF03167773