scholarly journals NECESSARY OPTIMALITY CONDITIONS IN THE ONE BOUNDARY CONTROL PROBLEM FOR QOURSAT – DARBOUX SYSTEMS

2017 ◽  
pp. 26-42
Author(s):  
Kamil' Bayramali ogly MANSIMOV ◽  
◽  
Vusalya Abdulla gyzy SULEYMANOVA ◽  
Keyword(s):  
Control Problem ◽  
Optimality Conditions ◽  
Boundary Control ◽  
Necessary Optimality Conditions ◽  
Boundary Control Problem ◽  
The One

scholarly journals On a Class of Isoperimetric Constrained Controlled Optimization Problems

Axioms ◽  
2021 ◽  
Vol 10 (2) ◽  
pp. 112
Author(s):  
Savin Treanţă
Keyword(s):  
Boundary Conditions ◽  
Control Problem ◽  
Optimality Conditions ◽  
Optimization Problems ◽  
Necessary Optimality Conditions ◽  
Control Problems ◽  
Integral Functionals ◽  
Curvilinear Integral ◽  
The One ◽  
Theoretical Results

In this paper, we investigate the Lagrange dynamics generated by a class of isoperimetric constrained controlled optimization problems involving second-order partial derivatives and boundary conditions. More precisely, we derive necessary optimality conditions for the considered class of variational control problems governed by path-independent curvilinear integral functionals. Moreover, the theoretical results presented in the paper are accompanied by an illustrative example. Furthermore, an algorithm is proposed to emphasize the steps to be followed to solve a control problem such as the one studied in this paper.

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