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Chryssoverghi, I., Colestos, J. and Kokkinis, B. (2007) Classical and Relaxed Optimization Methods for Optimal Control Problems. International Mathematical Forum, 2, 1477-1498.
https://doi.org/10.12988/imf.2007.07135

has been cited by the following article:

  • TITLE: An Efficient Non-Linear Application Algorithm Predictive Model for a Multi Aircraft Landing Dynamic System AIRLADYS R2019A+

    AUTHORS: Fulgence Nahayo, Salah Khardi

    KEYWORDS: Glade Software, Aircraft Dynamic System, Optimal Control System, Dynamic Programming, GUI GPL Application “AIRLADYS R2019A+”

    JOURNAL NAME: Open Journal of Optimization, Vol.9 No.2, May 12, 2020

    ABSTRACT: The aim of this paper is to set up an efficient nonlinear application algorithm predictive model for a multi aircraft landing dynamic system called “Aircraft Landing Dynamic System, Release 2019A+ version “AIRLADYS R2019A+”. This programming software combines dynamic programming technic for mathematical computing and optimisation run under AMPL and KNITRO Solver. It uses also a descriptive programming technic for software design. The user interfaces designed in Glade are saved as XML, and by using the GtkBuilder GTK+ object these can be loaded by applications dynamically as needed. By using GtkBuilder, Glade XML files can be used in numerous programming languages including C, C++, C#, Java, Perl, Python, AMPL, etc. Glade is Free Software released under the GNU GPL License. By these tools, the solved problem is a mathematical modelization problem as a non-convex optimal control governed by ordinary non-linear differential equations. The dynamic programming technic is applied because it is a sufficiently high order and it does not require computation of the partial derivatives of the aircraft dynamic. This application will be coded with Linux system on 64 bit operating system, but it can also be run on the windows system. High running performances are obtained with results giving feasible trajectories with a robust optimizing of the objective function.