Electron. J. Diff. Equ., Vol. 2011 (2011), No. 146, pp. 1-10.

Output-feedback stabilization and control optimization for parabolic equations with Neumann boundary control

Abdelhadi Elharfi

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
email: a.elharfi@ucam.ac.ma

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