Optimization of cereal output in presence of locusts

Moussouni, Nacima; Mohamed, Azah

doi:10.11121/ijocta.01.2016.00254

Cited by 5 publications

(3 citation statements)

References 6 publications

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“…This work is structured as follows: after a brief introduction, in section 2, we defined the model used and explained the importance of each of its compartments. Section 3 is devoted to the theoretical resolution of the modeled problem, using the Pontryagin maximum principle [4][5][6][7][8]. The numerical resolution is evoked in section 4, we solved the considered problem with two numerical methods, namely the direct method (Euler discretization ) and an indirect method (shooting method).…”

Section: Introductionmentioning

confidence: 99%

Optimal control of COVID-19

Moussouni

Aliane

2021

Int. J. Optim. Control, Theor. Appl. (IJOCTA)

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Coronavirus disease of 2019 or COVID-19 (acronym for coronavirus disease 2019) is an emerging infectious disease caused by a strain of coronavirus called SARS-CoV-22, contagious with human-to-human transmission via respiratory droplets or by touching contaminated surfaces then touching them face. Faced with what the world lives, to define this problem, we have modeled it as an optimal control problem based on the models of William Ogilvy Kermack et Anderson Gray McKendrick, called SEIR model, modified by adding compartments suitable for our study. Our objective in this work is to maximize the number of recovered people while minimizing the number of infected. We solved the problem theoretically using the Pontryagin maximum principle, numerically we used and compared results of two methods namely the indirect method (shooting method) and the Euler discretization method, implemented in MATLAB.

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Section: Introductionmentioning

confidence: 99%

Optimal control of COVID-19

Moussouni

Aliane

2021

Int. J. Optim. Control, Theor. Appl. (IJOCTA)

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“…Optimal control theory is applied successfully in many fields, such as mechanics, electrical engineering, chemistry, biology, aerospace and aeronautics, robotics, agriculture, etc. [1,2,3,4,5,6,7,8,9,10,11].…”

Section: Introductionmentioning

confidence: 99%

Optimal control of a rectilinear motion of a rocket

Aliane

Moussouni

Bentobache

2020

Stat., optim. inf. comput.

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In this work, we have modelled the problem of maximizing the velocity of a rocket moving with a rectilinear motion by a linear optimal control problem, where the control represents the action of the pilot on the rocket. In order to solve the obtained model, we applied both analytical and numerical methods. The analytical solution is calculated using the Pontryagin maximum principle while the approximate solution of the problem is found using the shooting method as well as two techniques of discretization: the technique using the Cauchy formula and the one using the Euler formula. In order to compare the different methods, we developed an implementation with MATLAB and presented some simulation results.

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“…The theory of optimal control is a branch of mathematics which consists in finding the best control which guides a given system, such as a car, a space shuttle, or a chemical reaction, on which we have an action, from an initial state to a final one. The optimal control theory can be applied in various fields: aeronautics and aerospace [1,2,3,6,12,18], mechanics [8,10], agriculture [13,14], etc.…”

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confidence: 99%

Direct method to solve linear-quadratic optimal control problems

Aliane¹,

Bentobache²,

Moussouni³

et al. 2021

NACO

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In this work, we have proposed a new approach for solving the linear-quadratic optimal control problem, where the quality criterion is a quadratic function, which can be convex or non-convex. In this approach, we transform the continuous optimal control problem into a quadratic optimization problem using the Cauchy discretization technique, then we solve it with the active-set method. In order to study the efficiency and the accuracy of the proposed approach, we developed an implementation with MATLAB, and we performed numerical experiments on several convex and non-convex linearquadratic optimal control problems. The obtained simulation results show that our method is more accurate and more efficient than the method using the classical Euler discretization technique. Furthermore, it was shown that our method fastly converges to the optimal control of the continuous problem found analytically using the Pontryagin's maximum principle.

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Optimization of cereal output in presence of locusts

Cited by 5 publications

References 6 publications

Optimal control of COVID-19

Optimal control of COVID-19

Optimal control of a rectilinear motion of a rocket

Direct method to solve linear-quadratic optimal control problems

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