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.
Differential Equations 268 (2020), no
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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.