ON SEQUENTIALLY CONTROLLED MARKOV PROCESSES

© 1971 American Mathematical Society
, , Citation A K Zvonkin 1971 Math. USSR Sb. 15 607 DOI 10.1070/SM1971v015n04ABEH001565

0025-5734/15/4/607

Abstract

We consider Markov processes with continuous time, where the switching of the controls takes place at random (independent of the future) moments of time. We derive Bellman's cost equation and the existence of optimal strategies, prove the measurability of cost and give an excessive characterization of cost. Bibliography: 9 items.

Export citation and abstract BibTeX RIS

10.1070/SM1971v015n04ABEH001565