Input dynamics and nonstandard riccati equations with applications to boundary control of damped wave and plate equations |
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| Authors: | I Lasiecka D Lukes L Pandolfi |
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| Institution: | (1) Department of Applied Mathematics, University of Virginia, Charlottesville, Virginia;(2) Dipartimento di Mathematica, Politecnico di Torino, Torino, Italy |
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| Abstract: | An optimization problem for a control system governed by an analytic generator with unbounded control actions is considered. The solution to this problem is synthesized in terms of the Riccati operator, arising from a nonstandard Riccati equation. Solvability and uniqueness of the solutions to this Riccati equation are established. This theory is applied to a boundary control problem governed by damped wave and plate equations.Research of this author partially supported by NSF Grant DMS 9204338. |
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| Keywords: | Boundary control wave and plate equations optimization nonstandard Riccati equations input dynamics |
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