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Input dynamics and nonstandard riccati equations with applications to boundary control of damped wave and plate equations
Authors:I Lasiecka  D Lukes  L Pandolfi
Institution:(1) Department of Applied Mathematics, University of Virginia, Charlottesville, Virginia;(2) Dipartimento di Mathematica, Politecnico di Torino, Torino, Italy
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.
Keywords:Boundary control  wave and plate equations  optimization  nonstandard Riccati equations  input dynamics
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