For linear quadratic control problems with unbounded admissible control operators, under finite-time observability and a coercivity condition, optimal states, adjoints, and controls stay exponentially close to the steady-state optimum away from the time endpoints.
Rapid and finite-time boundary stabilization of a KdV system
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abstract
We construct a static feedback control in a trajectory sense and a dynamic feedback control to obtain the local rapid boundary stabilization of a KdV system using Gramian operators. We also construct a time-varying feedback control in the trajectory sense and a time varying dynamic feedback control to reach the local finite-time boundary stabilization for the same system.
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Turnpike property of linear quadratic control problems with unbounded control operators
For linear quadratic control problems with unbounded admissible control operators, under finite-time observability and a coercivity condition, optimal states, adjoints, and controls stay exponentially close to the steady-state optimum away from the time endpoints.