Title : ( Optimality conditions for optimal control under parametric representation of interval uncertainty )
Authors: Omid Solaymani Fard , Mohadeseh Ramezanzadeh ,
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Abstract
The purpose of this paper is to offer a new approach that enables the decision maker to investigate optimal control problems under uncertainty (undetermined) processes. To this end, using the novel parametric representations of interval quantities as in Ramezanzadeh et al. (2015) the approach is developed to find a candidate for the solution of interval optimal control problem. Furthermore, necessary and sufficient optimality conditions are provided which guarantee the candidate solution to be optimal. Finally, some examples are given to show the main results, more specifically, a discussion on the interval optimal control governed by half-model of a car is also presented.
Keywords
, interval number, interval-valued function, interval optimal control problem, necessary condition, sufficient condition
@article{paperid:1080109,
author = {Solaymani Fard, Omid and محدثه رمضان زاده},
title = {Optimality conditions for optimal control under parametric representation of interval uncertainty},
journal = {International Journal of Systems, Control and Communications},
year = {2018},
volume = {9},
number = {3},
month = {January},
issn = {1755-9340},
pages = {210--229},
numpages = {19},
keywords = {interval number; interval-valued function; interval optimal control problem; necessary condition; sufficient condition},
}
%0 Journal Article
%T Optimality conditions for optimal control under parametric representation of interval uncertainty
%A Solaymani Fard, Omid
%A محدثه رمضان زاده
%J International Journal of Systems, Control and Communications
%@ 1755-9340
%D 2018
