| 来源类型 | Article |
| 规范类型 | 其他 |
| DOI | 10.1134/S0081543812020095 |
| Numerical encoding of sampled controls and an approximation metric criterion for the solvability of a guidance game problem. | |
| Kryazhimskiy AV | |
| 发表日期 | 2012 |
| 出处 | Proceedings of the Steklov Institute of Mathematics : 106-125 |
| 出版年 | 2012 |
| 语种 | 英语 |
| 摘要 | A game problem of guaranteed aiming in the class of positional strategies is considered for a conflict controlled system with affine scalar controls in the equation of the system. Simplified sampled analogs of quasi-strategies, i.e., of nonanticipating program reactions of the first player to the controls of the second player, are introduced. The nonanticipating property is characterized in metric terms with the use of numerical images (codes) of argument controls and reaction controls. A class of nonanticipating transformations is introduced that is approximately equivalent by the criterion of the solvability of the game problem to the class of positional strategies. The elements of this class as transformations of the numerical codes of controls are characterized by the 1-Lipschitz property. A numerical algorithm for checking the solvability of the problem in this class is described. The complexity order of the algorithm is close to that of the approximation variant of the classical program construction. |
| 主题 | Advanced Systems Analysis (ASA) |
| 关键词 | Positional differential games Quasi-strategies Numerical methods |
| URL | http://pure.iiasa.ac.at/id/eprint/9971/ |
| 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/129556 |
| 推荐引用方式 GB/T 7714 | Kryazhimskiy AV. Numerical encoding of sampled controls and an approximation metric criterion for the solvability of a guidance game problem.. 2012. |
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