International Federation of Automatic Control
3rd IFAC SYMPOSIUM on SYSTEM, STRUCTURE and CONTROL

Foz do Iguassu, Brazil October 17th - 19th, 2007

Thursday Morning

Session TM2: Non-linear systems II


Chair: Hebertt Sira-Ramírez - Mexico
Co-chair: Jean Lévine - France
Room: Montevideo
2007-10-18
From 10:00 to 12:00
Asymptotic Solution of Control Problems for Discrete Weakly Controllable Systems
G. Kurina; N. Nekrasova
Contact: Galina Kurina - Russian Federation
10:40-11:00
Abstract:
The asymptotic expansion of the solution of a nonlinear discrete optimal control problem for one class of weakly controllable systems is constructed as series of non-negative integer powers of a small parameter. The estimates are obtained for the closeness of the approximate solutions to the exact one and it is proved that the values of the minimized functional do not increase when higher-order approximations for the optimal control are used. Copyright © 2007 IFAC.