The Lagrange and the vanishing discount techniques to controlled diffusions with cost constraints
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چکیده
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Countable state space Markov cost/ reward chains, satisfying a Lyapunov-t ype stability condition, are considered in this work. For an infinite planning horizon, risk sensitive (exponential) discounted and average cost criteria are considered. The main contribution is the development of a vanishing discount approach to relate the discounted criterion problem with the average criterion one, as t...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2016
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2016.01.036