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Titlebook: Stochastic Controls; Hamiltonian Systems Jiongmin Yong,Xun Yu Zhou Book 1999 Springer Science+Business Media New York 1999 Martingale.Sto

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Stochastic Optimal Control Problems,ch are usually associated with the quest for optimal results. The systems mainly studied in this book are ., namely, they evolve over time. Moreover, they are described by Itô’s stochastic differential equations and are sometimes called . The basic source of uncertainty in diffusion models is ., whi
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Maximum Principle and Stochastic Hamiltonian Systems,in obtaining an optimum of a finite-dimensional function, one relies on the . (for the unconstrained case) or the . (for the constrained case), which are necessary conditions for optimality. These necessary conditions become sufficient under certain convexity conditions on the objective/constraint f
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Dynamic Programming and HJB Equations,d by R. Bellman in the early 1950s, is a mathematical technique for making a sequence of interrelated decisions, which can be applied to many optimization problems (including optimal control problems). The basic idea of this method applied to optimal controls is to consider a . of optimal control pr
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The Relationship Between the Maximum Principle and Dynamic Programming,serve as two of the most important tools in solving optimal control problems. Both MP and DP can be regarded as some necessary conditions of optimal controls (under certain conditions, they become sufficient ones). An interesting phenomenon one can observe from the literature is that to a great exte
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Book 1999stochastic optimal control problems. * An interesting phenomenon one can observe from the literature is that these two approaches have been developed separately and independently. Since both methods are used to investigate the same problems, a natural question one will ask is the fol­ lowing: (Q) Wh
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