Abstract
This work presents a study of a finite-time horizon stochastic control problem with restrictions on both the reward and the cost functions. To this end, it uses standard dynamic programming techniques, and an extension of the classic Lagrange multipliers approach. The coefficients considered here are supposed to be unbounded, and the obtained strategies are of non-stationary closed-loop type. The driving thread of the paper is a sequence of examples on a pollution accumulation model, which is used for the purpose of showing three algorithms for the purpose of replicating the results. There, the reader can find a result on the interchangeability of limits in a Dirichlet problem.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference34 articles.
1. Dynamic Programming and Markov Processes;Howard,1960
2. Some Markovian Optimization Problems;Fleming;J. Math. Mech.,1963
3. The Cauchy Problem for Degenerate Parabolic Equations;Fleming;J. Math. Mech.,1964
4. Optimal Continuous-Parameter Stochastic Control
5. On Optimal Control of a Non-Terminating Diffusion Process with Reflection
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