| 来源类型 | Article |
| 规范类型 | 其他 |
| Uniqueness of a cycle with discounting that is optimal with respect to the average time profit. | |
| Davydov AA; Shutkina TS | |
| 发表日期 | 2011 |
| 出处 | Proceedings of the Institute of Mathematics and Mechanics UrB RAS 17 (2): 80-87. |
| 出版年 | 2011 |
| 语种 | 英语 |
| 摘要 | For cyclic processes modeled by periodic motions of a continuous control system on a circle, we prove the uniqueness of a cycle maximizing the average one-period time profit in the case of discounting provided that the minimum and maximum velocities of the system coincide at some points only and the profit density is a differentiable function with a finite number of critical points. The uniqueness theorem is an analog of Arnolds theorem on the uniqueness of such a cycle in the case when the profit gathered along the cycle is not discounted. |
| 主题 | Advanced Systems Analysis (ASA) |
| 关键词 | Average optimization Periodic process Necessary optimality condition Discounting |
| URL | http://pure.iiasa.ac.at/id/eprint/9593/ |
| 来源智库 | International Institute for Applied Systems Analysis (Austria) |
| 资源类型 | 智库出版物 |
| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/129305 |
| 推荐引用方式 GB/T 7714 | Davydov AA,Shutkina TS. Uniqueness of a cycle with discounting that is optimal with respect to the average time profit.. 2011. |
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