Issue |
ESAIM: Proc.
Volume 35, March 2012
Congrès National de Mathématiques Appliquées et Industrielles
|
|
---|---|---|
Page(s) | 184 - 190 | |
DOI | https://doi.org/10.1051/proc/201235012 | |
Published online | 06 April 2012 |
A problem of optimal control with free initial state
1
Laboratoire de Conception et Conduite des Systèmes de Production
(L2CSP),University Mouloud Mammeri of Tizi Ouzou,
Algeria
aidene@mail.ummto.dz
2
University Mouloud Mammeri, Faculty of sciences,Departement of
Mathematics, Tizi
Ouzou, Algeria
louadjkahina@yahoo.fr
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.
© EDP Sciences, SMAI 2012
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