Constrained and Unconstrained Optimal Discounted Control of Piecewise Deterministic Markov Processes

2016 ◽  
Vol 54 (3) ◽  
pp. 1444-1474 ◽  
Author(s):  
O. L. V. Costa ◽  
F. Dufour ◽  
A. B. Piunovskiy
2012 ◽  
Vol 45 (2) ◽  
Author(s):  
Katarzyna Pichór ◽  
Ryszard Rudnicki ◽  
Marta Tyran-Kamińska

AbstractSome recent results concerning generation and asymptotic properties of stochastic semigroups are presented. The general results are applied to biological models described by piecewise deterministic Markov processes: birth-death processes, the evolution of the genome, genes expression and physiologically structured models.


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