Abstract The impulsive control with long run average cost criterion was considered first by M. Robin in [2], for Markov processes having nice ergodic properties. The aim of this paper is to complete and extend the results of paper [2]. In particular we show that for Fellerien Markov processes the optimal value is constant and find optimal or ɛ-optimal strategies. We also prove, that the use of general stopping times, instead of those of the form τi = τi−1 + σi ° $$\tau _i = \tau _{i - 1} + \sigma _i \circ \theta \tau _{\tau _{_{i - 1} } }$$ as in the paper [2] does not change the optimal value of the functional. Results are only reported here and the detailed proofs will appear elsewhere, see [3].
On impulsive control with long run average cost criterion
1982-01-01
7 pages
Article/Chapter (Book)
Electronic Resource
English
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