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
Abstract:
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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