About thereof optimal control problem for the heat equation with integral boundary condition

10.12737/4774 ◽  
2014 ◽  
Vol 2 (4) ◽  
pp. 337-339
Author(s):  
R. Tagiev ◽  
V. Gabibov
Keyword(s):  
Boundary Condition ◽  
Optimal Control ◽  
Optimal Control Problem ◽  
Heat Equation ◽  
Control Problem ◽  
Integral Boundary Condition ◽  
Integral Boundary

scholarly journals Necessary optimality condition for the singular controls in an optimal control problem with nonlocal conditions

Filomat ◽  
2018 ◽  
Vol 32 (3) ◽  
pp. 749-757
Author(s):  
Ali Safari ◽  
Yagub Sharifov ◽  
Yusif Gasimov
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Nonlocal Conditions ◽  
Integral Boundary Conditions ◽  
Necessary Optimality Condition ◽  
Integral Boundary ◽  
Singular Controls ◽  
The Cauchy Problem ◽  
Continue Investigation

In this paper, we continue investigation of the problem considered in our earlier works. The paper deals with an optimal control problem for an ordinary differential equation with integral boundary conditions that generalizes the Cauchy problem. The problem is investigated the case when Pontryagin?s maximum principle is degenerate. Moreover, the second order optimality conditions are derived for the considered problem.

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