Journal of Computations and Modelling, Volume (1), No (2), Year (2011-11) , Pages (145-156)

Title : ( A New Approach for a Class of Nonlinear Optimal Control Problems Using Linear Combination Property of Intervals )

Authors: EMRAN TOHIDI , mohammad hadi noori skandari ,

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Abstract

Here, we consider a class of optimal control problems (OCP) contain- ing nonlinear dynamical systems with the quadratic functionals of state variables. The major part of our technique is based upon linear com- bination property of intervals (LCPI) such that using this property the nonlinear dynamical system is converted to a linear one. And, the ma- jor di erence of our approach from a large number of direct approaches for solving OCPs is that we nally solve a convex (linear or quadratic) programming problem which its optimal solution is global. We also ex- tend our technique to a class of optimal control problems governed by di erential inclusions (DI). The proposed idea is illustrated by numer- ical examples. Moreover, a comparison is made with a discretization method.

Keywords

, Keywords: Linear and nonlinear optimal control, Linear combination prop- erty of intervals, Linear and quadratic programming, Discretization
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@article{paperid:1030562,
author = {TOHIDI, EMRAN and Noori Skandari, Mohammad Hadi},
title = {A New Approach for a Class of Nonlinear Optimal Control Problems Using Linear Combination Property of Intervals},
journal = {Journal of Computations and Modelling},
year = {2011},
volume = {1},
number = {2},
month = {November},
issn = {1792-7625},
pages = {145--156},
numpages = {11},
keywords = {Keywords: Linear and nonlinear optimal control; Linear combination prop- erty of intervals; Linear and quadratic programming; Discretization},
}

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%0 Journal Article
%T A New Approach for a Class of Nonlinear Optimal Control Problems Using Linear Combination Property of Intervals
%A TOHIDI, EMRAN
%A Noori Skandari, Mohammad Hadi
%J Journal of Computations and Modelling
%@ 1792-7625
%D 2011

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