Geodesic
A problem of optimal control with free initial state
Mohamed Aidene1 ; Kahina Louadj2
1 Laboratoire de Conception et Conduite des Systèmes de Production (L2CSP),University Mouloud Mammeri of Tizi Ouzou, Algeria
2 University Mouloud Mammeri, Faculty of sciences,Departement of Mathematics, Tizi Ouzou, Algeria
ESAIM. Proceedings, Tome 35 (2012), pp. 184-190.

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We are studying an optimal control problem with free initial condition. The initial state of the optimized system is not known exactly, information on initial state is exhausted by inclusions x0 ∈ X0. Accessible controls for optimization of continuous dynamic system are discrete controls defined on quantized axes. The method presented is based on the concepts and operations of the adaptive method [9] of linear programming. The results are illustrated by a fourth order problem, efficiency estimates of proposed methods are given.
DOI : 10.1051/proc/201235012

Mohamed Aidene 1 ; Kahina Louadj 2

1 Laboratoire de Conception et Conduite des Systèmes de Production (L2CSP),University Mouloud Mammeri of Tizi Ouzou, Algeria
2 University Mouloud Mammeri, Faculty of sciences,Departement of Mathematics, Tizi Ouzou, Algeria 
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Mohamed Aidene; Kahina Louadj. A problem of optimal control with free initial state. ESAIM. Proceedings, Tome 35 (2012), pp. 184-190. doi : 10.1051/proc/201235012. http://geodesic.mathdoc.fr/articles/10.1051/proc/201235012/

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