Computing the value function for an optimal control problem.
Pascal, Jesús A., Galindez, Cecilia (2005)
Divulgaciones Matemáticas
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Displaying similar documents to “Piecewise viscosity solutions for stochastic singular control.”
Computing the value function for an optimal control problem.
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We study in this paper a Lipschitz control problem associated to a semilinear second order ordinary differential equation with pointwise state constraints. The control acts as a coefficient of the state equation. The nonlinear part of the equation is governed by a Nemytskij operator defined by a Lipschitzian but possibly nonsmooth function. We prove the existence of optimal controls and obtain a necessary optimality conditions looking somehow to the Pontryagin’s maximum principle. These...
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