[PDF] Top 20 An optimal control problem in economics

... This problem is formulated in the language of the calculus of variations or, more "commonly, as an optimal control problem: choose an extraction rate qt j.o to maximize the total discoun[r] ... See full document

... models optimal liquidation of a large quantity of an asset whose market price is adversely affected by its ongoing ...an optimal sale of quantity z conditional on the current price being ... See full document

... process control, robotics, bioengineering, economics, fi- nance, management science, filtration, geomechanics and soil mechanics, petroleum and construction engineering, geo- sciences, biomedicine and ... See full document

... Stochastic control problems have a variety of practical applications in fields such as physics, biology, economics, management sciences, ...stochastic optimal control theory has been developed ... See full document

... Time optimal control problems was discussed by Egorov in 1963 and he proved a bang– bang property for his problem (see [2]), Fattorini discussed it independently in 1964 (see ...the optimal ... See full document

... Optimal control theory for the quantum mechanic systems described with the Schrö- dinger equation is one of the important areas of modern optimal control ...[–]. Optimal ... See full document

... the control u is piecewise continuous, the case M = 0 with fixed T has already been studied for different types of fractional order derivatives (see, ...proposed problem is also studied for fixed ... See full document

... Dirichlet problem for infinite order ...fractional optimal control problem holds and gives the optimality system for the optimal ...Neumann problem. In Sec- tion , we formulate ... See full document

... convex optimal control problem in parametric form and es- tablished the weak duality theorem, the strong duality theorem and the converse duality ...convex optimal control ... See full document

... The Optimal Power Flow (OPF) is important problem in electric power systems and OPF is a static, non – linear optimization problem of determining the optimal settings of control ... See full document

... quadratic optimal control ...Quadratic optimal control and introduce the riccati differential equation and riccati algebraic ...the optimal solution to these variational problems ... See full document

... The functional is strictly convex, but not Gˆateaux di ff erentiable, and we minimize the functional over suit- able admissible sets. Using the recent results from the theory of free boundary problems, we prove that the ... See full document

... parabolic optimal control problems include the solution of the parabolic equation and corresponding ad- joint parabolic equation at each iteration and this is the most time consuming part of the algorithms ... See full document

... The outline of this paper is as follows. In section 2, we introduce the notation and functional framework we shall work with. Section 3 contains the description of our control problem and reviews the a ... See full document

... an optimal control problem of surface water pollution by using a triplet of evolution adapted to order of de- ...the control but also of the solution of the equation that go- verns the ... See full document

... on optimal control in drug therapy, we refer to, ...of control mechanisms and provide val- ues of the model’s parameters that result from real ... See full document

... Many of the physics, techniques and mechanics systems can better be described by integral boundary conditions. At this paper problems of optimal control with integral boundary and distributed conditions are ... See full document

... The paper is organized as follows: In Section 2, we introduce the optimal control problem of Burgers’ equation. In Section 3, we give the optimality conditions for optimal control ... See full document

... transfer problem, equations of motion, the optimal control problem, necessary conditions for the Mayer problem, and a dynamic approach to the maximal orbit transfer problem using ... See full document

... Two types of optimization methods have been applied by researchers for solving the optimal control problem of monodomain model in the literature, which are nonlinear conjugate gradient method and ... See full document