Problems of Optimal Control for a Class of Linear and Nonlinear Systems of the Economic Model of a Cluster
For the mathematical model of a three-sector economic cluster, the problem of optimal control with fixed ends of trajectories is considered. An algorithm for solving the optimal control problem for a system with a quadratic functional is proposed. Control is defined on the basis of the principle of...
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| Format: | Article |
| Language: | English |
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World Scientific Publishing
2020-05-01
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| Series: | Vietnam Journal of Computer Science |
| Subjects: | |
| Online Access: | http://www.worldscientific.com/doi/pdf/10.1142/S2196888820500062 |
| _version_ | 1819114750274961408 |
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| author | Zainelkhriet Murzabekov Marek Milosz Kamshat Tussupova Gulbanu Mirzakhmedova |
| author_facet | Zainelkhriet Murzabekov Marek Milosz Kamshat Tussupova Gulbanu Mirzakhmedova |
| author_sort | Zainelkhriet Murzabekov |
| collection | DOAJ |
| description | For the mathematical model of a three-sector economic cluster, the problem of optimal control with fixed ends of trajectories is considered. An algorithm for solving the optimal control problem for a system with a quadratic functional is proposed. Control is defined on the basis of the principle of feedback. The problem is solved using the Lagrange multipliers of a special form, which makes it possible to find a synthesizing control. The problem of optimal stabilization for a class of nonlinear systems with coefficients that depend on the state of the control object is considered. The results obtained for nonlinear systems are used in the construction of control parameters for a three-sector economic cluster on an infinite time interval. |
| first_indexed | 2024-12-22T04:50:15Z |
| format | Article |
| id | doaj.art-48dd5b9f251545498f59b64043e7ac92 |
| institution | Directory Open Access Journal |
| issn | 2196-8888 2196-8896 |
| language | English |
| last_indexed | 2024-12-22T04:50:15Z |
| publishDate | 2020-05-01 |
| publisher | World Scientific Publishing |
| record_format | Article |
| series | Vietnam Journal of Computer Science |
| spelling | doaj.art-48dd5b9f251545498f59b64043e7ac922022-12-21T18:38:31ZengWorld Scientific PublishingVietnam Journal of Computer Science2196-88882196-88962020-05-017210912710.1142/S219688882050006210.1142/S2196888820500062Problems of Optimal Control for a Class of Linear and Nonlinear Systems of the Economic Model of a ClusterZainelkhriet Murzabekov0Marek Milosz1Kamshat Tussupova2Gulbanu Mirzakhmedova3Faculty of Information Technology, al-Farabi Kazakh National University, Ave. al-Farabi 71, Almaty 050040, KazakhstanInstitute of Computer Science, Lublin University of Technology, Nadbystrzycka 36B, Lublin, PL 20-618, PolandFaculty of Information Technology, al-Farabi Kazakh National University, Ave. al-Farabi 71, Almaty 050040, KazakhstanFaculty of Information Technology, al-Farabi Kazakh National University, Ave. al-Farabi 71, Almaty 050040, KazakhstanFor the mathematical model of a three-sector economic cluster, the problem of optimal control with fixed ends of trajectories is considered. An algorithm for solving the optimal control problem for a system with a quadratic functional is proposed. Control is defined on the basis of the principle of feedback. The problem is solved using the Lagrange multipliers of a special form, which makes it possible to find a synthesizing control. The problem of optimal stabilization for a class of nonlinear systems with coefficients that depend on the state of the control object is considered. The results obtained for nonlinear systems are used in the construction of control parameters for a three-sector economic cluster on an infinite time interval.http://www.worldscientific.com/doi/pdf/10.1142/S2196888820500062optimal control problemthree-sector economic clusterlagrange multiplier methoddynamical systemquadratic functional |
| spellingShingle | Zainelkhriet Murzabekov Marek Milosz Kamshat Tussupova Gulbanu Mirzakhmedova Problems of Optimal Control for a Class of Linear and Nonlinear Systems of the Economic Model of a Cluster Vietnam Journal of Computer Science optimal control problem three-sector economic cluster lagrange multiplier method dynamical system quadratic functional |
| title | Problems of Optimal Control for a Class of Linear and Nonlinear Systems of the Economic Model of a Cluster |
| title_full | Problems of Optimal Control for a Class of Linear and Nonlinear Systems of the Economic Model of a Cluster |
| title_fullStr | Problems of Optimal Control for a Class of Linear and Nonlinear Systems of the Economic Model of a Cluster |
| title_full_unstemmed | Problems of Optimal Control for a Class of Linear and Nonlinear Systems of the Economic Model of a Cluster |
| title_short | Problems of Optimal Control for a Class of Linear and Nonlinear Systems of the Economic Model of a Cluster |
| title_sort | problems of optimal control for a class of linear and nonlinear systems of the economic model of a cluster |
| topic | optimal control problem three-sector economic cluster lagrange multiplier method dynamical system quadratic functional |
| url | http://www.worldscientific.com/doi/pdf/10.1142/S2196888820500062 |
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