scholarly journals Optimal Control Problem for a Linear System in Switching Environment

1975 ◽  
Vol 11 (3) ◽  
pp. 303-309
Author(s):  
Hajime AKASHI ◽  
Kazuo NOSE
Keyword(s):  
Optimal Control ◽  
Linear System ◽  
Optimal Control Problem ◽  
Control Problem

scholarly journals On an Optimal Control Problem for a Linear System With Variable Structure

2016 ◽  
Author(s):  
Р.О. Масталиев
Keyword(s):  
Optimal Control ◽  
Linear System ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Variable Structure

В задаче оптимального управления с переменной линейной структурой, описываемой линейным разностным и интегро-дифференциальным уравнениями типа Вольтерра, получено необходимое и достаточное условие оптимальности в форме принципа максимума Понтрягина. В случае выпуклости функционала критерия качества получено достаточное условие оптимальности.

scholarly journals Solving Optimal Control Linear Systems by Using New Third kind Chebyshev Wavelets Operational Matrix of Derivative

2014 ◽  
Vol 11 (2) ◽  
pp. 229-234
Author(s):  
Baghdad Science Journal
Keyword(s):  
Optimal Control ◽  
Linear System ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Optimal Control Problems ◽  
Operational Matrix ◽  
Control Problems ◽  
State Variables ◽  
Algebraic Equations ◽  
Chebyshev Wavelets

In this paper, a new third kind Chebyshev wavelets operational matrix of derivative is presented, then the operational matrix of derivative is applied for solving optimal control problems using, third kind Chebyshev wavelets expansions. The proposed method consists of reducing the linear system of optimal control problem into a system of algebraic equations, by expanding the state variables, as a series in terms of third kind Chebyshev wavelets with unknown coefficients. Example to illustrate the effectiveness of the method has been presented.

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