An Optimal Control Problem by a Hybrid System of Hyperbolic and Ordinary Differential Equations
| Autor: | A. V. Arguchintsev, Vasilisa Poplevko |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Statistics and Probability
Population Bilinear interpolation non-classic increment formulas 01 natural sciences lcsh:Technology lcsh:Social Sciences 0502 economics and business ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION ddc:330 Applied mathematics 050207 economics 0101 mathematics education Mathematics education.field_of_study lcsh:T Applied Mathematics 010102 general mathematics 05 social sciences Linear system Function (mathematics) Optimal control hybrid systems hyperbolic equations lcsh:H reduction of optimal control problems Hybrid system Ordinary differential equation Statistics Probability and Uncertainty Hyperbolic partial differential equation |
| Zdroj: | Games Volume 12 Issue 1 Games, Vol 12, Iss 23, p 23 (2021) |
| ISSN: | 2073-4336 |
| DOI: | 10.3390/g12010023 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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