Both of feedback stabilization and optimal control problems are analyzed for a parabolic partial differential equation with Neumann boundary control. This PDE serves as a model of heat exchangers in a conducting rod. First, we explicitly construct an output-feedback operator which exponentially stabilizes the abstract control system representing the model. Second, we derive a controller which, simultaneously, stabilizes the associated output an minimizes a suitable cost functional.
Submitted September 7, 2010. Published November 2, 2011.
Math Subject Classifications: 34K35.
Key Words: C0-semigroup; feedback theory for regular linear systems.
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| Abdelhadi Elharfi |
Department of Mathematics
Cadi Ayyad University, Faculty of Sciences Semlalia
B.P. 2390, 40000 Marrakesh, Morocco
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