Optimal control and model-order reduction of an abstract parabolic system containing a controlled bilinear form : Applied to the example of a controlled advection term in an advection-diffusion equation
نویسندگان
چکیده
In the present paper, a linear parabolic evolution equation is considered whose bilinear form is controlled from a general Banach space. The control-to-state operator and some important properties thereof are presented. For a quadratic objective function, the gradient in the control space is derived. A-posteriori error estimators are presented for a given reduced-order model (ROM) with respect to both the cost function and the gradient.
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