Abstract
The main result of this paper is the convergence of optimal controls to the exact controls of linear parabolic partial differential equations. The result is derived through a representation of the terminal state by a operator that is similar to the one used by Lions in Hilbert Uniqueness Method.
This work was supported in part by the Department of Energy Research under Project D E-FG02-95ER25280A00.
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Cao, Y., Gunzburger, M., Turner, J. (1998). On Exact Controllability and Convergence of Optimal Controls to Exact Controls of Parabolic Equations. In: Optimal Control. Applied Optimization, vol 15. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6095-8_4
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DOI: https://doi.org/10.1007/978-1-4757-6095-8_4
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