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Demim, Fethi; Louadj, Kahina; Aidene, Mohamed; Nemra, Abdelkrim

Minimization fuel rate of an aircraft. (English) Zbl 1431.49023

Far East J. Appl. Math. 98, No. 2, 73-82 (2018).
Summary: 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.

MSC:

49K15 Optimality conditions for problems involving ordinary differential equations
49J45 Methods involving semicontinuity and convergence; relaxation

Keywords:

Pontryagin principle’s; optimal control; optimization; shooting method; relaxation method; fuel consumption rate; aircraft

Software:

Matlab
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References:

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