Feedback exact null controllability for unbounded control problems in Hilbert space |
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| Authors: | S Chen I Lasiecka |
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| Institution: | (1) Department of Applied Mathematics, Zhejiang University, Hangzhou, China;(2) Department of Applied Mathematics, University of Virginia, Charlottesville, Virginia |
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| Abstract: | Terminal constraint optimal control problems with unbounded control operators are considered. It is shown that the optimal solutions can be represented in a feedback form via a solution of an appropriate Riccati equation. In particular, it is proved that, for systems described by partial differential equations with infinite speed of propagation, boundary exact null controllability can be realized in feedback form.This work was partially supported by the National Science Foundation, Grant No. DMS-89-02811, and by the Air Force Office of Scientific Research, Grant No. AFOSR-89-0511 DEF. |
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| Keywords: | Feedback exact null controllability boundary exact Riccati equations terminal constraint control problems unbounded control action controllability |
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