Coefficient Conditions for the Existence of Optimal Control for Systems of Differential Equations

2014 ◽  
Vol 197 (1) ◽  
pp. 129-137
Author(s):  
O. M. Stanshyts’kyi ◽  
O. O. Samoilenko
Keyword(s):  
Optimal Control ◽  
Differential Equations ◽  
Systems Of Differential Equations ◽  
Existence Of Optimal Control

scholarly journals Application of the averaging method to the problems of optimal control of the impulse systems

2020 ◽  
Vol 12 (2) ◽  
pp. 504-521
Author(s):  
T.V. Koval'chuk ◽  
V.V. Mogylova ◽  
O.M. Stanzhytskyi ◽  
T.V. Shovkoplyas
Keyword(s):  
Optimal Control ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Finite Time ◽  
Averaging Method ◽  
Optimal Synthesis ◽  
Time Interval ◽  
Finite Time Interval ◽  
System Of Differential Equations ◽  
Existence Of Optimal Control

The problem of optimal control at finite time interval for a system of differential equations with impulse action at fixed moments of time as well as the corresponding averaged system of ordinary differential equations are considered. It is proved the existence of optimal control of exact and averaged problems. Also, it is established that optimal control of averaged problem realize the approximate optimal synthesis of exact problem. The main result of the article is a theorem, where it is proved that optimal contol of an averaged problem is almost optimal for exact problem. Substantiation of proximity of solutions of exact and averaged problems is obtained.

SOLUTION OF SOME SYSTEMS OF DIFFERENTIAL EQUATIONS IN MATHEMATICAL SYSTEM MAPLE

2013 ◽  
Vol 1 (05) ◽  
pp. 58-65
Author(s):  
Yunona Rinatovna Krakhmaleva ◽  
◽  
Gulzhan Kadyrkhanovna Dzhanabayeva ◽  
Keyword(s):  
Differential Equations ◽  
Systems Of Differential Equations ◽  
Mathematical System

On decomposability of countable systems of differential equations

1993 ◽  
Vol 45 (10) ◽  
pp. 1598-1608
Author(s):  
A. M. Samoilenko ◽  
Yu. V. Teplinskii
Keyword(s):  
Differential Equations ◽  
Systems Of Differential Equations
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