شماره ركورد كنفرانس :
5432
عنوان مقاله :
The solution of the interval optimal control problem using the LU-order relation
پديدآورندگان :
Shokouhi Tahereh soradizeid@eng.usb.ac.ir University of Sistan and Baluchestan, Zahedan, Iran , Allahdadi Mahdi m_allahdadi@math.usb.ac.ir mathematics Faculty, University of Sistan and Baluchestan, Zahedan, Iran , Soradi-Zeid Samaneh soradizeid@eng.usb.ac.ir faculty of Industry and Mining (Khash), University of Sistan and Baluchestan, Zahedan, Iran
كليدواژه :
Interval optimal control problem , Hukuhara generalized differentiability , Extreme generalized differentiability , LU , solution , Lagrange s formulation.
عنوان كنفرانس :
شانزدهمين كنفرانس بين المللي انجمن ايراني تحقيق در عمليات
چكيده فارسي :
In this paper, the solution of the optimal control problem with an interval-valued objective functional has been considered. First, the LU-solution concept has been defined for the interval space to reach this goal. Then, using Hukuhara s concepts of extreme and generalized differentiability, the necessary and sufficient optimality conditions have been obtained for the interval value function under the convexity hypotheses for solving the mentioned problem. These results have been obtained considering a particular optimal control problem, according to Lagrange s formulation. Furthermore, two numerical examples have been developed seeking to exemplify such results.
