Optimal Transportation Problem by Stochastic Optimal Control [PDF]
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
exaly +4 more sources
Optimal Opinion Control: The Campaign Problem [PDF]
Opinion dynamics is nowadays a very common field of research. In this article we formulate and then study a novel, namely strategic perspective on such dynamics: There are the usual normal agents that update their opinions, for instance according the ...
Hegselmann, Rainer +4 more
core +3 more sources
Partially Observed Non-linear Risk-sensitive Optimal Stopping Control for Non-linear Discrete-time Systems [PDF]
In this paper we introduce and solve the partially observed optimal stopping non-linear risk-sensitive stochastic control problem for discrete-time non-linear systems.
Ford, Jason
core +2 more sources
Optimal control of the propagation of a graph in inhomogeneous media [PDF]
We study an optimal control problem for viscosity solutions of a Hamilton–Jacobi equation describing the propagation of a one-dimensional graph with the control being the speed function.
Barles G. +4 more
core +1 more source
Optimal Active Control of a Wave Energy Converter [PDF]
-This paper investigates optimal active control schemes applied to a point absorber wave energy converter within a receding horizon fashion. A variational formulation of the power maximization problem is adapted to solve the optimal control problem.
Abraham, E, Kerrigan, EC
core +2 more sources
Delta-nabla optimal control problems [PDF]
We present a unified treatment to control problems on an arbitrary time scale by introducing the study of forward-backward optimal control problems. Necessary optimality conditions for delta-nabla isoperimetric problems are proved, and previous results in the literature are obtained as particular cases. As an application of the results of the paper we
Girejko, Ewa +2 more
openaire +3 more sources
Averaging and linear programming in some singularly perturbed problems of optimal control [PDF]
The paper aims at the development of an apparatus for analysis and construction of near optimal solutions of singularly perturbed (SP) optimal controls problems (that is, problems of optimal control of SP systems) considered on the infinite time horizon.
Gaitsgory, Vladimir +1 more
core +1 more source
Store-and-forward based methods for the signal control problem in large-scale congested urban road networks [PDF]
The problem of designing network-wide traffic signal control strategies for large-scale congested urban road networks is considered. One known and two novel methodologies, all based on the store-and-forward modeling paradigm, are presented and compared ...
Abu-Lebdeh +19 more
core +1 more source
A piecewise linear FEM for an optimal control problem of fractional operators: error analysis on curved domains [PDF]
We propose and analyze a new discretization technique for a linear-quadratic optimal control problem involving the fractional powers of a symmetric and uniformly elliptic second oder operator; control constraints are considered.
Otarola, Enrique
core +2 more sources
Optimal Control Sphere Packing Problem
The sphere packing problem which is to pack non-overlapping spheres with the maximum volume into a convex set. The problem belongs to a class of global optimization. Convex maximization formulation of the problem is given in [1, 12]. In this paper, we formulate a new optimal control problem based on the sphere packing problem which is a nonconvex ...
openaire +1 more source

