An optimal control problem in economics
The first problem in the economics of natural resources is to find the rate at which to extract the resource in order to optimize its value when there are no extraction costs. It is shown that the existence of an optimal extraction path is not guaranteed
Jannett Highfill, Michael McAsey
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Fractal variational principle for an optimal control problem
The optimal control of a system governed by an elliptic equation has been widely applied in engineering, and it requires twice differentiability. Furthermore, the optimal control cannot effectively deal with unsmooth boundaries.
Hongjin Ma
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Optimal Reinsurance Problem under Fixed Cost and Exponential Preferences
We investigate an optimal reinsurance problem for an insurance company taking into account subscription costs: that is, a constant fixed cost is paid when the reinsurance contract is signed.
Matteo Brachetta, Claudia Ceci
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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
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Sustainable Optimal Control for Switched Pollution-Control Problem with Random Duration
Considering the uncertainty of game duration and periodic seasonal fluctuation, an n-player switched pollution-control differential game is modeled to investigate a sustainable and adaptive strategy for players.
Yilun Wu, Anna Tur, Hongbo Wang
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Optimal control problem for 3D micropolar fluid equations
In this paper we study an optimal control problem related to strong solutions of 3D micropolar fluid equations. We deduce the existence of a global optimal solution with distributed control and, using a Lagrange multipliers theorem, we derive first-order
Exequiel Mallea-Zepeda, Luis Medina
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Presenting two new methods for solving linear interval optimal control problems using the resilience approach of control signal [PDF]
Purpose: In this paper, two new methods are presented to find the optimal control of systems described by linear differential equations that have interval coefficients.
Elnaz Hosseini +2 more
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Convergence of The Discrete Classical Optimal Control Problem To The Continuous Classical Optimal Control Problem Including A Nonlinear Hyperbolic P.D. Equation [PDF]
Our focus in this paper is to study the behaviour in the limit of the discrete classical optimal control problem including partial differential equations of nonlinear hyperbolic type.
Jamil A. Ali Al-Hawasy
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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
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Fuzzy Optimal Control Problem of Several Variables
The purpose of this paper is to establish the necessary conditions for a fuzzy optimal control problem of several variables. Also, we define fuzzy optimal control problems involving isoperimetric constraints and higher order differential equations. Then,
Altyeb Mohammed Mustafa +2 more
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