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On stochastic optimal control

IEEE Transactions on Automatic Control, 1969
It is shown that, for a class of stochastic systems, i.e., those in which the cost increases as the distance between the stochastic and the deterministic controls increases, the optimal stochastic control is the conditional expectation of the deterministic control, given the measurement history.
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An Approximation Method in Optimal Stochastic Control

SIAM Journal on Control and Optimization, 1978
The purpose of this paper is to prove that an approximation scheme can be defined for the general problems of optimal stochastic control which we have solved in Theorie probabiliste du controle des diffusions, Mem. Amer. Math. Soc., 1976 [2].
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Optimal Stochastic Control

2011
This chapter deals with the optimal control of a noisy linear system, the state of which is not entirely available, i.e., which requires a state reconstructor in the control loop. Since the system is submitted to random influences, a filter, e.g. an optimal filter such as the Kalman filter, will be used.
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Sufficient Conditions for the Optimality of a Stochastic Control

Journal of the Society for Industrial and Applied Mathematics Series A Control, 1965
Sufficient conditions for optimal stochastic control of diffusion processes governed by vector equations satisfying local Lipschitz ...
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Stochastic Optimal Control

1998
Abstract This chapter gives a self‐contained introduction to optimal control of stochastic differential equations. We derive the Hamilton‐Jacobi‐Bellman equation as well as a verification theorem. The general theory is then applied to optimal consumption and investment problems.
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On optimal stochastic control with smoothed information

Information Sciences, 1968
Abstract This paper presents a generalization of the Separation Theorem of stochastic control. The generalization consists in assuming observations ahead of running time. We consider the following problem of optimal pursuit: Given noisy incomplete observations of a linear stochastic system, control another linear stochastic system so that a quadratic
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On the Existence of Optimal Stochastic Controls

Journal of the Society for Industrial and Applied Mathematics Series A Control, 1965
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A General Stochastic Maximum Principle for Optimal Control Problems

SIAM Journal on Control and Optimization, 1990
Shige Peng
exaly  

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