Title : ( A New Approach for estimation of attraction region and asymptotic stability a system of nonlinear ODE )
Authors: Sohrab Effati , O. Baghani , H. Baghani ,
Full TextAbstract
In this paper, we use the measure theory method for estimation of attraction region and asymp- totic stability of an autonomous system of rst order of the nonlinear ordinary di erential equations (ODE\'s). Corresponding with attraction region, two optimization problems are de ned. We prove that if solutions of two problems be the same, the attraction region is determined completely. The solutions of these optimization problems are used to nd an estimation of the region of attraction and then a piecewise-constant control function. Using the approximated control signals, the approximate trajectories and the error functional related to asymptotic stability problem are obtained.
Keywords
, ODE\'s, asymptotic stable, attraction region, in nite-horizon problem, mea- sure theory, nonlinear optimal control, linear programming, fuzzy direction.
@inproceedings{paperid:1012399,
author = {Effati, Sohrab and O. Baghani and H. Baghani},
title = {A New Approach for estimation of attraction region and asymptotic stability a system of nonlinear ODE},
booktitle = {چهلمین کنفرانس ریاضی کشور},
year = {2009},
location = {تهران, IRAN},
keywords = {ODE\'s; asymptotic stable; attraction region; in nite-horizon problem; mea-
sure theory; nonlinear optimal control; linear programming; fuzzy direction.},
}
%0 Conference Proceedings
%T A New Approach for estimation of attraction region and asymptotic stability a system of nonlinear ODE
%A Effati, Sohrab
%A O. Baghani
%A H. Baghani
%J چهلمین کنفرانس ریاضی کشور
%D 2009
