A method for solving a local boundary problem for nonlinear controlled system

2015 ◽  
Author(s):  
Alexander Kvitko
Keyword(s):  
Boundary Problem ◽  
Controlled System ◽  
Local Boundary ◽  
Nonlinear Controlled System

scholarly journals An Optimal Control Problem Governed by Nonlinear First Order Dynamic Equation on Time Scales

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Jian-Ping Sun ◽  
Qiu-Yan Ren ◽  
Ya-Hong Zhao
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Time Scales ◽  
Dynamic Equation ◽  
Optimal Solution ◽  
Control Policy ◽  
Controlled System ◽  
First Order ◽  
Nonlinear Controlled System

In this paper, we are concerned with a class of optimal control problem governed by nonlinear first order dynamic equation on time scales. By imposing some suitable conditions on the related functions, for any given control policy, we first obtain the existence of a unique solution for the nonlinear controlled system. Then, we study the existence of an optimal solution for the optimal control problem.

scholarly journals Boundary problem with integral displacement for the model equation of elliptic type

2020 ◽  
pp. 65-74
Author(s):  
З.А. Нахушева
Keyword(s):  
Elliptic Equation ◽  
Boundary Value Problems ◽  
Boundary Problem ◽  
Model Equation ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Elliptic Type ◽  
Order Elliptic Equation ◽  
Local Boundary ◽  
Second Order Elliptic Equation

Для модельного эллиптического уравнения второго порядка рассматривается метод редукции нелокальных краевых задач с интегральным смещением к локальным краевым задачам для уравнения более высокого порядка составного типа. Исследуется разрешимость поставленных задач. For a model second order elliptic equation is considered the method of reduction of nonlocal boundary value problems with integral offset to the local boundary value problems for equations of higher order composite type. The solvability of tasks is investigated.

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