scholarly journals The optimal control problem in the processes described by the Goursat problem for a hyperbolic equation in variable exponent Sobolev spaces with dominating mixed derivatives

2016 ◽  
Vol 305 ◽  
pp. 11-17 ◽  
Author(s):  
R.A. Bandaliyev ◽  
V.S. Guliyev ◽  
I.G. Mamedov ◽  
A.B. Sadigov
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Hyperbolic Equation ◽  
Sobolev Spaces ◽  
Variable Exponent ◽  
Goursat Problem ◽  
Variable Exponent Sobolev Spaces ◽  
Mixed Derivatives

Optimal Control Problem for Bianchi Equation in Variable Exponent Sobolev Spaces

2018 ◽  
Vol 180 (1) ◽  
pp. 303-320 ◽  
Author(s):  
Rovshan A. Bandaliyev ◽  
Vagif S. Guliyev ◽  
Ilgar G. Mamedov ◽  
Yasin I. Rustamov
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Sobolev Spaces ◽  
Variable Exponent ◽  
Variable Exponent Sobolev Spaces

REDUCED MODEL OF PLASMA DISCHARGE CONTROL IN TOKAMAK WITH IRON CORE

2020 ◽  
Vol 7 (3) ◽  
pp. 11-22
Author(s):  
VALERY ANDREEV ◽  
◽  
ALEXANDER POPOV
Keyword(s):  
Optimal Control ◽  
Inverse Problem ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Nonlinear Behavior ◽  
Plasma Discharge ◽  
Reduced Model ◽  
Iron Core ◽  
Power Sources ◽  
Real Power

A reduced model has been developed to describe the time evolution of a discharge in an iron core tokamak, taking into account the nonlinear behavior of the ferromagnetic during the discharge. The calculation of the discharge scenario and program regime in the tokamak is formulated as an inverse problem - the optimal control problem. The methods for solving the problem are compared and the analysis of the correctness and stability of the control problem is carried out. A model of “quasi-optimal” control is proposed, which allows one to take into account real power sources. The discharge scenarios are calculated for the T-15 tokamak with an iron core.

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