Relationship Between MP and DPP for the Stochastic Optimal Control Problem of Jump Diffusions
Journal Article
·
· Applied Mathematics and Optimization
- Shandong University, School of Mathematics (China)
This paper is concerned with the stochastic optimal control problem of jump diffusions. The relationship between stochastic maximum principle and dynamic programming principle is discussed. Without involving any derivatives of the value function, relations among the adjoint processes, the generalized Hamiltonian and the value function are investigated by employing the notions of semijets evoked in defining the viscosity solutions. Stochastic verification theorem is also given to verify whether a given admissible control is optimal.
- OSTI ID:
- 22043936
- Journal Information:
- Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 2 Vol. 63; ISSN 0095-4616
- Country of Publication:
- United States
- Language:
- English
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