Results 21 to 30 of about 517,257 (186)

Sparse optimal stochastic control [PDF]

open access: yesAutomatica, 2021
In this paper, we investigate a sparse optimal control of continuous-time stochastic systems. We adopt the dynamic programming approach and analyze the optimal control via the value function. Due to the non-smoothness of the $L^0$ cost functional, in general, the value function is not differentiable in the domain.
Ito, Kaito   +2 more
openaire   +2 more sources

STOCHASTIC OPTIMAL CONTROL OF A TWO-DIMENSIONAL DYNAMICAL SYSTEM [PDF]

open access: yesJournal of Engineering Science (Chişinău), 2020
In this paper, we considered the problem of optimally controlling a twodimensional dynamical system until it reaches either of two boundaries. We consider a controlled dynamical system (X(t), Y(t)) which is a generalization of the classic twodimensional ...
Lefebvre, Mario
doaj   +1 more source

Stochastic maximum principle for optimal control of SPDEs [PDF]

open access: yes, 2012
In this note, we give the stochastic maximum principle for optimal control of stochastic PDEs in the general case (when the control domain need not be convex and the diffusion coefficient can contain a control variable)
Fuhrman, Marco   +2 more
core   +12 more sources

Optimal Transportation Problem by Stochastic Optimal Control [PDF]

open access: yesSIAM Journal on Control and Optimization, 2008
We address an optimal mass transportation problem by means of optimal stochastic control. We consider a stochastic control problem which is a natural extension of the Monge-Kantorovich problem. Using a vanishing viscosity argument we provide a probabilistic proof of two fundamental results in mass transportation: the Kantorovich duality and the graph ...
Mikami, Toshio, Thieullen, Michele
openaire   +3 more sources

Maximum Principle for Forward-Backward Doubly Stochastic Control Systems and Applications [PDF]

open access: yes, 2010
The maximum principle for optimal control problems of fully coupled forward-backward doubly stochastic differential equations (FBDSDEs in short) in the global form is obtained, under the assumptions that the diffusion coefficients do not contain the ...
Bensoussan   +22 more
core   +3 more sources

Nonlinear Stochastic Control and Information Theoretic Dualities: Connections, Interdependencies and Thermodynamic Interpretations

open access: yesEntropy, 2015
In this paper, we present connections between recent developments on the linearly-solvable stochastic optimal control framework with early work in control theory based on the fundamental dualities between free energy and relative entropy. We extend these
Evangelos A. Theodorou
doaj   +1 more source

The Optimal Control Problem with State Constraints for Fully Coupled Forward-Backward Stochastic Systems with Jumps

open access: yesAbstract and Applied Analysis, 2014
We focus on the fully coupled forward-backward stochastic differential equations with jumps and investigate the associated stochastic optimal control problem (with the nonconvex control and the convex state constraint) along with stochastic maximum ...
Qingmeng Wei
doaj   +1 more source

A Maximum Principle for Controlled Time-Symmetric Forward-Backward Doubly Stochastic Differential Equation with Initial-Terminal Sate Constraints

open access: yesAbstract and Applied Analysis, 2012
We study the optimal control problem of a controlled time-symmetric forward-backward doubly stochastic differential equation with initial-terminal state constraints. Applying the terminal perturbation method and Ekeland’s variation principle, a necessary
Shaolin Ji, Qingmeng Wei, Xiumin Zhang
doaj   +1 more source

Optimal control in an inventory management problem considering replenishment lead time based upon a non-diffusive stochastic differential equation

open access: yesJournal of Advanced Mechanical Design, Systems, and Manufacturing, 2019
An inventory management problem is theoretically discussed for a factory having effects of lead times in replenishing the inventory, where it stocks materials used for its products.
Hiroaki T.-KANEKIYO, Shinjiro AGATA
doaj   +1 more source

Optimal distributed control of a stochastic Cahn-Hilliard equation [PDF]

open access: yes, 2019
We study an optimal distributed control problem associated to a stochastic Cahn-Hilliard equation with a classical double-well potential and Wiener multiplicative noise, where the control is represented by a source-term in the definition of the chemical ...
Scarpa, Luca
core   +2 more sources

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