1. Connection between MP and DPP for stochastic recursive optimal control problems: Viscosity solution framework in local case
- Author
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Jingtao Shi, Tianyang Nie, and Zhen Wu
- Subjects
0209 industrial biotechnology ,Regular polygon ,02 engineering and technology ,Optimal control ,Connection (mathematics) ,Domain (software engineering) ,Dynamic programming ,020901 industrial engineering & automation ,Maximum principle ,Optimization and Control (math.OC) ,Bellman equation ,FOS: Mathematics ,93E20, 60H10 ,0202 electrical engineering, electronic engineering, information engineering ,Applied mathematics ,020201 artificial intelligence & image processing ,Viscosity solution ,Mathematics - Optimization and Control ,Mathematics - Abstract
This paper deals with a nonsmooth version of the connection between the maximum principle and dynamic programming principle, for the stochastic recursive control problem when the control domain is convex. By employing the notions of sub- and super-jets, the set inclusions are derived among the value function and the adjoint processes. The general case for non-convex control domain is open., Comment: Accepted by 2016 American Control Conference, July 6-8, Boston, USA, 2016
- Published
- 2016
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