Title : Using AVK method to solve nonlinear problems with uncertain parameters ( Using AVK method to solve nonlinear problems with uncertain parameters )
Authors: Kazem PourBadakhshan , Ali Vahidian Kamyad ,
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Abstract
Although we usually would like to work with exact systems, most of the real world systems are nonlinear with uncertain parameters. In this paper, we propose AVK (A.V. Kamyad) approach to solve nonlinear problems with uncertain parameters (NPUP). This approach substitutes the original nonlinear system with an equivalent nonlinear programming (NLP) problem. Using this approach, we found an optimal solution of NLP problem and a new approximate solution for the original NPUP in Lp space.
Keywords
Uncertain parameter; Nonlinear problem; Optimal control; AVK method
@article{paperid:203695,
author = {PourBadakhshan, Kazem and Vahidian Kamyad, Ali},
title = {Using AVK method to solve nonlinear problems with uncertain parameters},
journal = {Applied Mathematics and Computation},
year = {2007},
volume = {189},
month = {March},
issn = {0096-3003},
pages = {27--34},
numpages = {7},
keywords = {Uncertain parameter; Nonlinear problem; Optimal control; AVK method},
}
%0 Journal Article
%T Using AVK method to solve nonlinear problems with uncertain parameters
%A PourBadakhshan, Kazem
%A Vahidian Kamyad, Ali
%J Applied Mathematics and Computation
%@ 0096-3003
%D 2007
