Output-feedback Stabilization and Control Optimization for Parabolic Equations with Neumann Boundary Control
نویسنده
چکیده
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.
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