A stochastic inventory model with stock dependent demand items.
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Approximation of control problems involving ordinary and impulsive controls
Fabio Camilli, Maurizio Falcone (1999)
ESAIM: Control, Optimisation and Calculus of Variations
Approximation of control problems involving ordinary and impulsive controls
Fabio Camilli, Maurizio Falcone (2010)
ESAIM: Control, Optimisation and Calculus of Variations
In this paper we study an approximation scheme for a class of control problems involving an ordinary control v, an impulsive control u and its derivative . Adopting a space-time reparametrization of the problem which adds one variable to the state space we overcome some difficulties connected to the presence of . We construct an approximation scheme for that augmented system, prove that it converges to the value function of the augmented problem and establish an error estimates in L∞ for this approximation....
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