A problem of optimal control with free initial state

Mohamed Aidene; Kahina Louadj

ESAIM: Proceedings (2012)

  • Volume: 35, page 184-190
  • ISSN: 1270-900X

Abstract

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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.

How to cite

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Aidene, Mohamed, and Louadj, Kahina. Denis Poisson, Fédération, and Trélat, E., eds. " A problem of optimal control with free initial state ." ESAIM: Proceedings 35 (2012): 184-190. <http://eudml.org/doc/251270>.

@article{Aidene2012,
abstract = {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.},
author = {Aidene, Mohamed, Louadj, Kahina},
editor = {Denis Poisson, Fédération, Trélat, E.},
journal = {ESAIM: Proceedings},
language = {eng},
month = {4},
pages = {184-190},
publisher = {EDP Sciences},
title = { A problem of optimal control with free initial state },
url = {http://eudml.org/doc/251270},
volume = {35},
year = {2012},
}

TY - JOUR
AU - Aidene, Mohamed
AU - Louadj, Kahina
AU - Denis Poisson, Fédération
AU - Trélat, E.
TI - A problem of optimal control with free initial state
JO - ESAIM: Proceedings
DA - 2012/4//
PB - EDP Sciences
VL - 35
SP - 184
EP - 190
AB - 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.
LA - eng
UR - http://eudml.org/doc/251270
ER -

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