Extremal Problems and Optimal Control

2009 ◽  
pp. 63-145
Author(s):  
Nikolaos S. Papageorgiou ◽  
Sophia Th. Kyritsi-Yiallourou
Keyword(s):  
Optimal Control ◽  
Extremal Problems

scholarly journals Optimal control of the radiation heat exchange equations for multi-component media

2021 ◽  
Vol 21 (1) ◽  
pp. 113-121
Author(s):  
A.Yu. Chebotarev ◽  
Keyword(s):  
Optimal Control ◽  
Elliptic Equations ◽  
Optimal Control Problems ◽  
Nonlinear Elliptic Equations ◽  
Extremal Problems ◽  
Radiation Heat ◽  
Nonlinear Elliptic ◽  
Discontinuity Surfaces ◽  
Complex Heat Transfer ◽  
Radiation Heat Exchange

An analysis of optimal control problems for nonlinear elliptic equations modeling complex heat transfer with Fresnel conjugation conditions on the discontinuity surfaces of the refractive index is presented. Conditions for the solvability of extremal problems and the nondegeneracy of the optimality system are obtained. For the control problem with boundary observation, the bang-bang property is set.

scholarly journals OPTIMAL CONTROL OF POWER SYSTEMS

2020 ◽  
Vol 5 (333) ◽  
pp. 86-94
Author(s):  
M. Kalimoldayev ◽  
◽  
M. Jenaliyev ◽  
A. Abdildayeva ◽  
T. Zhukabayeva ◽  
...  
Keyword(s):  
Optimal Control ◽  
Power Systems ◽  
Electric Power ◽  
Optimal Control Problems ◽  
Sufficient Conditions ◽  
Electric Power Systems ◽  
Extremal Problems ◽  
Electric Power System ◽  
Control Problems ◽  
Solution Methods

This article discusses the study of problems of optimal control for electric power systems. The numerical solution of optimal control problems for complex electric power systems using an iterative algorithm is shown. Also considered are issues of solving the optimal control of a nonlinear system of ordinary differential equations in two different cases. The proposed solution methods follow the principle of continuation of extremal problems based on sufficient conditions for optimality of V. F. Krotov. A special case of optimal control problems is considered. Numerical experiments showed sufficient efficiency of the implemented algorithms. The problem of optimal motion control of a two-system electric power system is graphically illustrated in the proposed numerical example.

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