First and Second Order Necessary Conditions for Stochastic Optimal Control Problems
Journal Article
·
· Applied Mathematics and Optimization
In this work we consider a stochastic optimal control problem with either convex control constraints or finitely many equality and inequality constraints over the final state. Using the variational approach, we are able to obtain first and second order expansions for the state and cost function, around a local minimum. This fact allows us to prove general first order necessary condition and, under a geometrical assumption over the constraint set, second order necessary conditions are also established. We end by giving second order optimality conditions for problems with constraints on expectations of the final state.
- OSTI ID:
- 22043760
- Journal Information:
- Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 3 Vol. 65; ISSN 0095-4616
- Country of Publication:
- United States
- Language:
- English
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