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Article Dans Une Revue SIAM Journal on Control and Optimization Année : 2018

STOCHASTIC OPTIMAL CONTROL PROBLEMS WITH CONTROL AND INITIAL-FINAL STATES CONSTRAINTS

Résumé

In this paper, the first and second order necessary optimality conditions are established for stochastic optimal control problems with control and initial-final states constraints. The control regions are allowed to be nonconvex, the diffusion terms contain the control variable and the final state constraints are defined by finitely many inequality constraints. In the difference with the existing literatures, the second order variations of the control set are used to derive the second order necessary conditions. This leads to stronger results under less restrictive, than usual, assumptions. Key words. Stochastic optimal control, normal first order necessary optimality conditions, second order necessary conditions, second order tangents.
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hal-02126110 , version 1 (10-05-2019)

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  • HAL Id : hal-02126110 , version 1

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Hélène Frankowska, Haisen Zhang, X. Zhang. STOCHASTIC OPTIMAL CONTROL PROBLEMS WITH CONTROL AND INITIAL-FINAL STATES CONSTRAINTS. SIAM Journal on Control and Optimization, 2018, 56, pp.1823-1855. ⟨hal-02126110⟩
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