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Far East Journal of Applied Mathematics

Far East Journal of Applied Mathematics
Volume 98, Issue 2, Pages 73 - 82 (February 2018)
http://dx.doi.org/10.17654/AM098020073

MINIMIZATION FUEL RATE OF AN AIRCRAFT

Fethi Demim, Kahina Louadj, Mohamed Aidene and Abdelkrim Nemra

Abstract:

The aim of the paper is to minimize the fuel rate of an aircraft. This problem is solved by shooting method coupled with a relaxation method based on Pontryagin principle. We use a shooting method to find the initial condition of adjoint state and illustrate results by using a numerical solution.

Keywords and phrases:

Pontryagin principle’s, optimal control, optimization, shooting method, relaxation method.

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