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Optimal control problem

Closed Form Solution to an Optimal Control Problem by Orthogonal Polynomial Expansion

Closed Form Solution to an Optimal Control Problem by Orthogonal Polynomial Expansion

... the optimal control ...this problem, weighed orthogonal polynomials with the weighting function t k , are defined which will be represented with ϕ i ( t ) ...

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On Solvability of the Nonlinear Optimal Control Problem for Processes Described by the Semi-linear Parabolic Equations

On Solvability of the Nonlinear Optimal Control Problem for Processes Described by the Semi-linear Parabolic Equations

... nonlinear optimal control problem for the process described by semi-linear parabolic ...value problem and its adjoint ...the optimal control is described as the solution of the ...

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Approximated analytical solution to an Ebola optimal control problem

Approximated analytical solution to an Ebola optimal control problem

... fraction of susceptible individuals vaccinated per unit of time, the value 0.9 means that, at maximum, 90% of sus- ceptible are vaccinated. In other words, what we assume here is that the fraction of individuals who are ...

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On numerical approximation of an optimal control problem in linear elasticity

On numerical approximation of an optimal control problem in linear elasticity

... But for the purpose of examining the qualitative behavior of the optimal control solutions, our nu- merical calculation, both in finite element iterative approximation and in Fou[r] ...

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Optimal control and mathematical models in epidemiology

Optimal control and mathematical models in epidemiology

... consider optimal control problems that consist to min- imize a delayed non-linear cost functional subject to a delayed dierential system that is linear with respect to state, but not with respect to ...

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Optimal control of AUVs

Optimal control of AUVs

... the optimal control of a real AUV, through its virtual ...time optimal control problem numerically using the direct method and solving the transcribed nonlinear programming ...

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Optimal control and numerical software: an overview

Optimal control and numerical software: an overview

... an optimal control problem to study the dynamics of rubella over three years, using a vaccination process (u) as a measure to control the ...

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Optimal Fuzzy Control with Application to Discounted Cost Production Inventory Planning Problem

Optimal Fuzzy Control with Application to Discounted Cost Production Inventory Planning Problem

... planning problem by using the developed equation of ...fuzzy optimal control problem with fuzzy process and we developed an equation of optimality in the context of fuzzy optimal ...

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Quadratic optimal fuzzy control

Quadratic optimal fuzzy control

... Changing the rules of the fuzzy inference can be made by means of a learning algorithm which takes the final error between state and co-state variables as its input. In fact, it can be proved that, under the quadratic ...

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Optimal Control Applied to an Irrigation Planning Problem

Optimal Control Applied to an Irrigation Planning Problem

... We propose a mathematical model to study the water usage for the irrigation of a given farmland to guarantee that the field crop is kept in a good state of preservation. This problem is formulated as an ...

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Optimal control of a delayed HIV model

Optimal control of a delayed HIV model

... the optimal control problem with both de- lays in state and control variables, decrease ...extremal control is bang-bang and switches from its maximal value one to ...of control ...

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Nonessential functionals in multiobjective optimal control problems

Nonessential functionals in multiobjective optimal control problems

... multiobjective optimal control problem consists of finding all feasible solutions that are efficient in the sense of Definition ...This problem is denoted in the sequel by (P ...

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An applet for optimal control problems

An applet for optimal control problems

... An Optimal Control Applet (OCA) is ...study optimal con- trol problems in an interactive ...an optimal control problem, namely controlled differential equations, control ...

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Optimal Control for an Irrigation Planning Problem: Characterisation of Solution and Validation of the Numerical Results

Optimal Control for an Irrigation Planning Problem: Characterisation of Solution and Validation of the Numerical Results

... an optimal control problem: mini- mize the water flow (control) so that the extent water amount in the soil (trajectory) fulfils the cultivation water ...our problem guaranteeing the ...

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Distributed-order non-local optimal control

Distributed-order non-local optimal control

... Fractional optimal control deals with optimization problems involving fractional differential equations, as well as a performance index ...optimization problem must ...the optimal ...

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Optimal Control in Blood Flow Simulations

Optimal Control in Blood Flow Simulations

... nonlinear optimal control problem to reconstruct the blood flow profile from partial observations of known data in idealized 2D stenosed ...nonlinear optimal control problem and ...

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Optimal Control for Vehicle Cruise Speed Transfer

Optimal Control for Vehicle Cruise Speed Transfer

... the optimal cruise control problem that consists in transferring the car velocity between two specified val- ues, in a fixed interval of time, with minimum fuel- ...corresponding optimal ...

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Numerical Methodes for Optimal Control and Model Predictive Control

Numerical Methodes for Optimal Control and Model Predictive Control

... an optimal control algorithm based on a direct method with adaptive refinement of the ...nonlinear optimal control, regular time meshes having equidistant spacing are most frequently ...

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Optimal control for an irrigation problem with several fields and common reservoir

Optimal control for an irrigation problem with several fields and common reservoir

... Abstract. In a previous study, the authors developed the planning of the water used in the irrigation systems of a given farmland in order to ensure that the field cultivation is in a good state of preservation. In this ...

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Optimal spraying in biological control of pests

Optimal spraying in biological control of pests

... this optimal control problem is shown in Figures 2 and 3 for T = 50; and in Figures 4 and 5 for T = ...the control (the spray), the number of pests in the vineyard v(t) can attain the value ...

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