Algorithm for the Min-Max problem of an optimal control

Authors

  • M AIDENE Université Mouloud Mammeri, Tizi-Ouzou
  • B OUKACHA Université Mouloud Mammeri, Tizi-Ouzou

Keywords:

optimal control, support-control, ɛ-Optimal

Abstract

In this paper, we consider an optimal control non linear problme with bounded constraints on reachability set. The interest of this problem is the Min-Max model who has several practical applications and the method of resolution. The first generalizations of this method to the Min-Max is linear programming and in optimal control are presented in the results [6-10]. The method proposed [1-3] in this paper is a generalization to the problem with a bounded goal set.

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Author Biographies

M AIDENE, Université Mouloud Mammeri, Tizi-Ouzou

Département de Mathématiques

B OUKACHA, Université Mouloud Mammeri, Tizi-Ouzou

Département de Mathématiques

References

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- Guminsky A.V., "A dual support method for Max-min optimization of linear control system", Warsawa, Institute of mathematic of Polonia academy of science, n°404, (1987), p.25.

- Guminski A.V., "A primal support method for max-min optimization of linear control system" Warsawa, Institute of mathematic of Polonia academy of Science, n°405, (1987), 25p.

- Aidene M., "Algorithm for the min-max problem in control optimal", Journal of Doclady of Academy of Science of Belarus, T.30 n°1, (1986), pp.24-27.

Published

2004-06-01

How to Cite

AIDENE, M., & OUKACHA, B. (2004). Algorithm for the Min-Max problem of an optimal control. Sciences & Technology. A, Exactes Sciences, (21), 5–10. Retrieved from https://revue.umc.edu.dz/a/article/view/397

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