Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 146, pp. 1-10.

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

Author: Abdelhadi Elharfi (Cadi Ayyad Univ., Marrakesh, Morocco)

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 02, 2011.
Math Subject Classifications: 34K35.
Key Words: C0-semigroup; feedback theory for regular linear systems.