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Optimal Control Problem

An optimal control problem in economics

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] ...

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Fractional optimal control problem for differential system with delay argument

Fractional optimal control problem for differential system with delay argument

... An optimal control problem (OCP) deals with the problem of finding a control law for a given dynamic system that minimizes a performance index in terms of the state and con- trol ...

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On a kind of time optimal control problem of the heat equation

On a kind of time optimal control problem of the heat equation

... 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 ...

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Modeling and Numerical Solution of a Cancer Therapy Optimal Control Problem

Modeling and Numerical Solution of a Cancer Therapy Optimal Control Problem

... of optimal solutions to our optimal control problem and their characterization by the optimality conditions in the framework of the Pontryagin maximum principle ...

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Stochastic Optimal Control Problem for Switching Systems with Controlled Diffusion Coefficients

Stochastic Optimal Control Problem for Switching Systems with Controlled Diffusion Coefficients

... The rest of the paper is organized as follows. The no- tations, some basic definitions and the description of the main problem are given in section 2. Section 3 is de- voted to stochastic optimal ...

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Stochastic singular optimal control problem of switching systems with constraints

Stochastic singular optimal control problem of switching systems with constraints

... This paper is devoted to the optimal control problem of switching system in which constraints on the state variable are given by inclusions. Using Ekeland’s variational principle, second-order ...

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A Probabilistic Algorithm for Optimal Control Problem

A Probabilistic Algorithm for Optimal Control Problem

... constrained optimal control problem when the gradient information is not ...new control parameterization based on Bernstein basis functions is suggested to convert control ...

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A fast gradient projection algorithm for time fractional optimal control problem

A fast gradient projection algorithm for time fractional optimal control problem

... and optimal control problem governed by in- teger order differential equations, the research for fractional diffusion optimal control problem is still immature and only a few ...

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Optimal control problem for stationary quasi-optic equations

Optimal control problem for stationary quasi-optic equations

... 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 ...

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The Effects of Control Domain Size on Optimal Control Problem of Monodomain Model

The Effects of Control Domain Size on Optimal Control Problem of Monodomain Model

... 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 ...

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The optimal control problem with necessity condition for a viscous shallow water equation

The optimal control problem with necessity condition for a viscous shallow water equation

... major improvement in comparison with the results in the literature [5, 10, 17, 32], where the problems studied are special cases of the optimal control problem (1.3) in this paper. Moreover, we ...

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Two-Aircraft optimal control problem. The in-flight noise reduction*,, **

Two-Aircraft optimal control problem. The in-flight noise reduction*,, **

... non-linear optimal control problem leading to a system of non- linear ordinary differential equations ...the problem takes into account several kinds of constraints such as aircraft stability, ...

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A viability theory approach to a two stage optimal control problem

A viability theory approach to a two stage optimal control problem

... continuous-time optimal-control problems with affine dynam- ics can generate collections of value functions whose graphs can ...two-stage optimal control ...an optimal solution and a ...

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On optimality conditions for optimal control problem in coefficients for Δp-Laplacian

On optimality conditions for optimal control problem in coefficients for Δp-Laplacian

... another problem - the Lagrange functional to the indicated problem is not Gâteaux dif- ferentiable at the ...perturbed optimal control problems and derived the optimality condi- tions passing ...

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Chebyshev pseudo-spectral method for optimal control problem of Burgers’ equation

Chebyshev pseudo-spectral method for optimal control problem of Burgers’ equation

... solving optimal control problems governed by Burgers’ ...specially optimal control ...original optimal control problem is first reduced to a system of partial differential ...

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A Parametric Approach to Non Convex Optimal Control Problem

A Parametric Approach to Non Convex Optimal Control Problem

... In this paper we have considered a non convex optimal control problem and presented the weak, strong and converse duality theorems. The optimality conditions and duality theorems for frac- tional ...

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Singular Optimal Control Problem of Stochastic Switching Systems

Singular Optimal Control Problem of Stochastic Switching Systems

... of optimal control problem, but is not always ...corresponding optimal control problem is required additional ...stochastic optimal control problem of of ...

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Fractional optimal control problem for infinite order system with control constraints

Fractional optimal control problem for infinite order system with control constraints

... fractional optimal control of infinite order systems is ...fractional optimal control ...classical optimal control problems. The optimization problem presented in this ...

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Violation of Object Functional Unimodality and Evolutionary Algorithms for Optimal Control Problem Solution

Violation of Object Functional Unimodality and Evolutionary Algorithms for Optimal Control Problem Solution

... For example, to use a method of non-uniform coverages [3, 4] it is necessary to calculate the estimates of the objective function for each of the areas into which the search space is divided. The number of areas for ...

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A posteriori error estimates of spectral method for nonlinear parabolic optimal control problem

A posteriori error estimates of spectral method for nonlinear parabolic optimal control problem

... The purpose of this work is to derive a posteriori error estimates for the spectral ap- proximation of an optimal control problem governed by nonlinear parabolic equations. We present a fully ...

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