The finite horizon optimal control problem for a nonlinear model of a three-sector economic
Fragment książki (Rozdział w monografii)
MNiSW
20
Poziom I
| Status: | |
| Autorzy: | Murzabekov Zainelkhriet N., Miłosz Marek, Tussupova Kamshat |
| Dyscypliny: | |
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| Wersja dokumentu: | Drukowana | Elektroniczna |
| Język: | angielski |
| Strony: | 24 - 35 |
| Efekt badań statutowych | NIE |
| Materiał konferencyjny: | NIE |
| Publikacja OA: | TAK |
| Licencja: | |
| Sposób udostępnienia: | Witryna wydawcy |
| Wersja tekstu: | Ostateczna wersja opublikowana |
| Czas opublikowania: | W momencie opublikowania |
| Data opublikowania w OA: | 15 grudnia 2021 |
| Abstrakty: | angielski |
| The problem of optimal control over a finite time interval is posed for the mathematical model of a three-sector economic. In this paper, we consider the optimal control problem for a class of nonlinear systems with fixed ends of trajectories without restrictions and with constraints on controls. We propose an algorithm for solving the optimal control problem for a nonlinear system with a given quality functional. Nonlinear control based on the principle of feedback with respect to control constraints is found. The problem is solved using Lagrange multipliers of a special type, which allows to find synthesising control that depends on the system’s state and the current time. The results obtained for nonlinear systems are used in the construction of control parameters for the mathematical model of a three-sector economic cluster over a finite time interval with a given functional and various initial conditions. The results of system state calculations are presented in figures, optimal controls satisfying specified limitations. Optimal distribution of labour and investment resources are determined for a case study considered in the paper. They ensure bringing the system to an equilibrium state and satisfy balance ratios. |
