Author	Krylov, Nicolai V. author
Title	Controlled Diffusion Processes [electronic resource] / by Nicolai V. Krylov
Imprint	New York, NY : Springer New York, 1980
Connect to	http://dx.doi.org/10.1007/978-3-540-70914-5
Descript	XII, 310 p. online resource

This book deals with the optimal control of solutions of fully observable Itรด-type stochastic differential equations. The validity of the Bellman differential equation for payoff functions is proved and rules for optimal control strategies are developed. Topics include optimal stopping; one dimensional controlled diffusion; the Lp-estimates of stochastic integral distributions; the existence theorem for stochastic equations; the Itรด formula for functions; and the Bellman principle, equation, and normalized equation

to the Theory of Controlled Diffusion Processes -- Auxiliary Propositions -- General Properties of a Payoff Function -- The Bellman Equation -- The Construction of ?-Optimal Strategies -- Controlled Processes with Unbounded Coefficients: The Normed Bellman Equation

1. Mathematics
2. System theory
3. Probabilities
4. Mathematics
5. Systems Theory
6. Control
7. Probability Theory and Stochastic Processes