Dynamic Programming and Stochastic Control

Mathematics ◽  
2021 ◽  
Vol 9 (13) ◽  
pp. 1466
Author(s):  
Beatris Adriana Escobedo-Trujillo ◽  
José Daniel López-Barrientos ◽  
Javier Garrido-Meléndez

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.


2011 ◽  
Vol 44 (1) ◽  
pp. 6598-6603
Author(s):  
Charalambos D. Charalambous ◽  
Christos K. Kourtellaris ◽  
Christoforos Hadjicostis

1979 ◽  
Vol 74 (366) ◽  
pp. 510
Author(s):  
S. Christian Albright ◽  
Dimitri P. Bertsekas

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