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- W4294690622 abstract "We consider the problem of nonlinear stochastic optimal control. This problem is thought to be fundamentally intractable owing to Bellman’s curse of dimensionality. We present a result that shows that repeatedly solving an open-loop deterministic problem from the current state, similar to Model Predictive Control (MPC), results in a feedback policy that is O(ϵ <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>4</sup> ) near to the true global stochastic optimal policy. Furthermore, empirical results show that solving the Stochastic Dynamic Programming (DP) problem is highly susceptible to noise, even when tractable, and in practice, the MPC-type feedback law offers superior performance even for stochastic systems." @default.
- W4294690622 created "2022-09-06" @default.
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- W4294690622 date "2022-06-08" @default.
- W4294690622 modified "2023-10-16" @default.
- W4294690622 title "On the Feedback Law in Stochastic Optimal Nonlinear Control" @default.
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- W4294690622 doi "https://doi.org/10.23919/acc53348.2022.9867673" @default.
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