| 来源类型 | Article |
| 规范类型 | 其他 |
| DOI | 10.1016/j.ifacol.2017.08.788 |
| Application of optimal control and stabilization to an infinite time horizon problem under constraints. | |
| Lebedev PD; Tarasyev AM | |
| 发表日期 | 2017 |
| 出处 | IFAC-PapersOnLine 50 (1): 4057-4062 |
| 出版年 | 2017 |
| 语种 | 英语 |
| 摘要 | In modeling the dynamics of capital, the Ramsey equation coupled with the Cobb-Douglas production function is reduced to a linear differential equation by means of the Bernoulli substitution. This equation is used in the optimal growth problem with logarithmic preferences. We consider a vector field of the Hamiltonian system in the Pontryagin maximum principle, taking into account control constraints. We prove the existence of two alternative steady states, depending on the constraints. A proposed algorithm for constructing growth trajectories combines methods of open-loop control and closed-loop stabilizing control. Results are supported by modeling examples. |
| 主题 | Ecosystems Services and Management (ESM) |
| 关键词 | Optimal control Control applications Economic systems Steady states |
| URL | http://pure.iiasa.ac.at/id/eprint/14897/ |
| 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/131149 |
| 推荐引用方式 GB/T 7714 | Lebedev PD,Tarasyev AM. Application of optimal control and stabilization to an infinite time horizon problem under constraints.. 2017. |
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