Partial and full sensitivity relations are obtained for nonautonomous optimal control problems with infinite horizon subject to state constraints, assuming the associated value function to be locally Lipschitz in the state. Sufficient structural conditions are given to ensure such a Lipschitz regularity in presence of a positive discount factor, as it is typical of macroeconomics models.
Basco, V., Cannarsa, P., Frankowska, H. (2018). Necessary conditions for infinite horizon optimal control problems with state constraints. MATHEMATICAL CONTROL AND RELATED FIELDS, 8(3-4), 535-555 [10.3934/mcrf.2018022].
Necessary conditions for infinite horizon optimal control problems with state constraints
Basco V.;Cannarsa P.
;
2018-01-01
Abstract
Partial and full sensitivity relations are obtained for nonautonomous optimal control problems with infinite horizon subject to state constraints, assuming the associated value function to be locally Lipschitz in the state. Sufficient structural conditions are given to ensure such a Lipschitz regularity in presence of a positive discount factor, as it is typical of macroeconomics models.File in questo prodotto:
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