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Solving Stochastic Optimal Control Problem via Stochastic Maximum Principle with Deep Learning Method

Journal of Scientific Computing, 2020
In this paper, we aim to solve the high dimensional stochastic optimal control problem from the view of the stochastic maximum principle via deep learning.
Shaolin Ji   +3 more
semanticscholar   +1 more source

Stochastic Optimal Control for Energy Internet: A Bottom-Up Energy Management Approach

IEEE Transactions on Industrial Informatics, 2019
In this paper, an energy management issue is considered for energy Internet where microgrids (MGs) are interconnected via energy routers (ERs). Focusing on an individual MG, we propose controllers in microturbines (MTs) and the ER, such that the ...
H. Hua   +3 more
semanticscholar   +1 more source

On Stochastic Optimal Control in Ferromagnetism

Archive for Rational Mechanics and Analysis, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Thomas Dunst   +3 more
semanticscholar   +3 more sources

Adjoint Matching: Fine-tuning Flow and Diffusion Generative Models with Memoryless Stochastic Optimal Control

arXiv.org
Dynamical generative models that produce samples through an iterative process, such as Flow Matching and denoising diffusion models, have seen widespread use, but there have not been many theoretically-sound methods for improving these models with reward
Carles Domingo-Enrich   +3 more
semanticscholar   +1 more source

Stochastic optimal structural control: Stochastic optimal open-loop feedback control

Advances in Engineering Software, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Pathwise Optimality in Stochastic Control

SIAM Journal on Control and Optimization, 2000
This paper deals with the pathwise optimality for stochastic control problems over an infinite time horizon. The authors considered the following problems. For an admissible control \(u_t\) and its response \(x^u_t\), the running cost is given by \(J_T(u)=\int^T_0 c(x^u_t,u_t)dt\).
DAI PRA, PAOLO   +2 more
openaire   +4 more sources

Stochastic Optimal Control Scheme for Battery Lifetime Extension in Islanded Microgrid via a Novel Modeling Approach

IEEE Transactions on Smart Grid, 2019
Most of the existing literature concerning lifetime extension of battery energy storage (BES) devices mainly focus on designing controllers in BES devices themselves.
Yuchao Qin, H. Hua, Junwei Cao
semanticscholar   +1 more source

Aircraft Trajectory Optimization for Collision Avoidance Using Stochastic Optimal Control

Asian journal of control, 2018
Optimizing aircraft collision avoidance and performing trajectory optimization are the key problems in an air transportation system. This paper is focused on solving these problems by using a stochastic optimal control approach. The major contribution of
Wensheng Liu   +3 more
semanticscholar   +1 more source

Stochastic Optimal Control

1987
In the long history of mathematics, stochastic optimal control is a rather recent development. Using Bellman’s Principle of Optimality along with measure-theoretic and functional-analytic methods, several mathematicians such as H. Kushner, W. Fleming, R. Rishel. W.M. Wonham and J.M.
openaire   +1 more source

Stochastic Optimal Control

1970
H. J. Kushner has obtained the differential equation satisfied by the optimal feedback control law for a stochastic control system in which the plant dynamics and observations are perturbed by independent additive Gaussian white noise processes.
openaire   +1 more source

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