Optimal Control Methods in Solving Inverse Problems of Mathematical Physics for First-Order Hyperbolic Systems

2001 ◽  
Vol 34 (6) ◽  
pp. 295-299
Author(s):  
Alexander V. Arguchintsev
Keyword(s):  
Optimal Control ◽  
Inverse Problems ◽  
Hyperbolic Systems ◽  
Mathematical Physics ◽  
Control Methods ◽  
First Order ◽  
Optimal Control Methods

scholarly journals Using optimal control methods for solving inverse problems of evaluation of test technical systems results.

2014 ◽  
Vol 2014 (3) ◽  
pp. 119-126 ◽  
Author(s):  
Вениамин Киренков ◽  
Veniamin Kirenkov ◽  
Сергей Досько ◽  
Sergey Dosko ◽  
Евгений Юганов ◽  
...  
Keyword(s):  
Optimal Control ◽  
Inverse Problems ◽  
Dynamic Systems ◽  
Control Methods ◽  
Test Results ◽  
Complex Dynamic ◽  
Complex Dynamic Systems ◽  
Theory Of Optimal Control ◽  
Optimal Control Methods ◽  
Passive Experiment

The article draws attention to the identity of the methods for solving problems of identification arising from the evaluation of test results of complex dynamic systems, the classical problems of the theory of optimal control. Shows how to use the latest techniques can be very effective for solving certain types of inverse problems both during active and passive experiment. The authors believe that there are many inverse problems, where it will be possible using effective methods of optimal control.

Optimal Control Methods for an Electrochemical Sewage

1996 ◽  
Vol 28 (1-2) ◽  
pp. 85-92
Author(s):  
Valentin V. Ostapenko ◽  
A. P. Yakovleva ◽  
I. S. Voznyuk ◽  
V. M. Rogov
Keyword(s):  
Optimal Control ◽  
Control Methods ◽  
Optimal Control Methods

scholarly journals An Optimal Control Problem by a Hybrid System of Hyperbolic and Ordinary Differential Equations

Games ◽  
2021 ◽  
Vol 12 (1) ◽  
pp. 23
Author(s):  
Alexander Arguchintsev ◽  
Vasilisa Poplevko
Keyword(s):  
Optimal Control ◽  
Differential Equations ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Ordinary Differential Equations ◽  
Hyperbolic Equations ◽  
Control Methods ◽  
The Right ◽  
The Cost ◽  
Optimal Control Methods

This paper deals with an optimal control problem for a linear system of first-order hyperbolic equations with a function on the right-hand side determined from controlled bilinear ordinary differential equations. These ordinary differential equations are linear with respect to state functions with controlled coefficients. Such problems arise in the simulation of some processes of chemical technology and population dynamics. Normally, general optimal control methods are used for these problems because of bilinear ordinary differential equations. In this paper, the problem is reduced to an optimal control problem for a system of ordinary differential equations. The reduction is based on non-classic exact increment formulas for the cost-functional. This treatment allows to use a number of efficient optimal control methods for the problem. An example illustrates the approach.

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