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On Risk-Sensitive Ergodic Impulsive Control of Markov Processes
Authors:R. Sadowy  L. Stettner
Affiliation:(1) Institute of Mathematics, Polish Academy of Sciences, Sniadeckich 8, 00-950 Warsaw, Poland, PL;(2) Warsaw School of Management and Marketing, Al. Jerozolimskie 202, 02-486 Warsaw, Poland, PL
Abstract:
Impulsive control of continuous-time Markov processes with risk- sensitive long-run average cost is considered. The most general impulsive control problem is studied under the restriction that impulses are in dyadic moments only. In a particular case of additive cost for impulses, the impulsive control problem is solved without restrictions on the moments of impulses. Accepted 30 April 2001. Online publication 29 August 2001.
Keywords:. Impulsive control   Risk-sensitive long-run average cost   Controlled Markov processes   Bellman equation. AMS Classification. Primary 93E20   Secondary 93C40   60J25.
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