| 来源类型 | Book Section |
| DOI | 10.1007/978-3-319-12577-0_18 |
| Optimal control problems on optimization of resources productivity. | |
| Usova AA; Tarasyev AM; Mityushev, V.; (Eds.), M.V. Ruzhansky | |
| 发表日期 | 2015 |
| 出处 | Current Trends in Analysis and Its Applications (Proceedings of the 9th ISAAC Congress, Kraksw 2013). Eds. Mityushev, V. & (Eds.), M.V. Ruzhansky , Basel: Birkhauser. ISBN 978-3-319-12576-3 DOI: 10.1007/978-3-319-12577-0_18 . |
| 出版年 | 2015 |
| 语种 | 英语 |
| 摘要 | The paper is devoted to the optimal control problem which is based on the model of optimization of resources productivity. Model analysis is implemented within the framework of Pontryagin maximum principle for the problems with infinite time horizon. Qualitative analysis of the Hamiltonian system allows to formulate necessary and sufficient conditions of existence of a steady state in terms of the model parameters. Under these conditions and an assumption on the saddle character of the steady state, we construct a nonlinear regulator which allows to approximate optimal trajectories by the solutions of the stabilized Hamiltonian system at a vicinity of the steady state. Finally, comparative analysis of results of numerical simulations is carried out. |
| 主题 | Advanced Systems Analysis (ASA) |
| URL | http://pure.iiasa.ac.at/id/eprint/11604/ |
| 来源智库 | International Institute for Applied Systems Analysis (Austria) |
| 引用统计 | |
| 资源类型 | 智库出版物 |
| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/134428 |
| 推荐引用方式 GB/T 7714 | Usova AA,Tarasyev AM,Mityushev, V.,et al. Optimal control problems on optimization of resources productivity.. 2015. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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