PROPERTIES OF SOLUTIONS OF AUXILIARY EQUATIONS IN A LINEAR SYSTEM WITH DISTRIBUTED PARAMETERS

Authors

Tatiana P. Samokhvalova Institute of Automation and Information Technologies of the National Academy of Sciences of the Kyrgyz Republic, Bishkek
Yakimanskaya T.T. Kyrgyz-Russian Slavic University

Keywords:

optimal control, solution property, control algorithm, synthesizing control, Equation, function

Abstract

When optimizing heating modes for various materials, the mathematical theory of optimal control is widely used. When constructing optimal control algorithms based on the feedback principle (synthesizing control), it is necessary to solve a system of nonlinear differential equations of the Riccati type. Researchers are interested in the intervals of stationarity of solutions to this system, since they are used to construct control algorithms with a simpler technical implementation.

In this paper, we continue to study the properties of solutions to an auxiliary system of partial differential equations.

References

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