Optimal Control of Markov Diffusion Processes.
BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS
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Some results from optimal stochastic theory are surveyed in this paper, with particular emphasis on control of diffusion processes. Methods for obtaining necessary and sufficient conditions for an optimum are obtained, as well as some techniques for approximate solution. A new application of stochastic control methods is made to obtain Ventcel-Freidlin type estimates for the probability that the states of a diffusion process remain in a given region during a given time period. Author
- Statistics and Probability