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Series Solution of Stochastic HJB Equations
2019 IEEE 58th Conference on Decision and Control (CDC), 2019We consider infinite horizon, stochastic, smooth optimal control problems in continuous time where the coefficients of the white Gaussian noise terms in the dynamics vanish at the origin. We show how the Taylor polynomials of the optimal cost and the optimal feedback can be computed degree by degree. This is a generaliztion of the work of Al’brekht who
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On the Optimal Solutions to AND/OR Series-Parallel Graphs
Journal of the ACM, 1971Richard Simon, Richard C. T. Lee
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Series Solutions of Bôcher Equations
Journal of Mathematics and Physics, 1961Moon, Parry, Eberle Spencer, Domina
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Regular Solutions of Linear Ordinary Differential Equations and Truncated Series
Computational Mathematics and Mathematical Physics, 2020Sergei A Abramov +2 more
exaly

