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.

scholarly journals On quasi-singular controls in discrete systems with delay

2021 ◽  
pp. 19-24
Author(s):  
Kamil Mansimov ◽  
◽  
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Optimality Conditions ◽  
Necessary Optimality Conditions ◽  
Discrete Systems ◽  
Maximum Condition ◽  
Singular Controls ◽  
Performance Functional

Сconsider an optimal control problem described by a system of differential controls with a delaying argument and a multipoint performance functional under the assumption that the control domain is convex. A number of integral and multipoint necessary optimality conditions in the case of degeneration of the linearized maximum condition are established.

scholarly journals An optimal control problem with final observation for systems governed by nonlinear Schrödinger equation

Filomat ◽  
2016 ◽  
Vol 30 (3) ◽  
pp. 649-665 ◽  
Author(s):  
Aksoy Yildirim ◽  
Eray Aksoy ◽  
Yusuf Kocak
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Existence And Uniqueness ◽  
Necessary Optimality Condition ◽  
Uniqueness Of The Solution ◽  
Variational Form ◽  
Final Observation ◽  
The First Variation ◽  
Objective Functional

In this paper, an optimal control problem with final observation for systems governed by nonlinear time-dependent Schr?dinger equation is studied. The existence and uniqueness of the solution of considered optimal control problem are proved. The first variation of objective functional is obtained and a necessary optimality condition in the variational form is given.

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