| 来源类型 | Article |
| 规范类型 | 其他 |
| DOI | 10.1134/S0081543815090035 |
| On the question of construction of an attraction set under constraints of asymptotic nature. | |
| Chentsov AG | |
| 发表日期 | 2015 |
| 出处 | Proceedings of the Steklov Institute of Mathematics 291 (S1): 40-55 |
| 出版年 | 2015 |
| 语种 | 英语 |
| 摘要 | We study a variant of the reachability problem with constraints of asymptotic character on the choiceof controls. More exactly, we consider a control problem in the class of impulses of given intensity and vanishingly small length. The situaton is complicated by the presence of discontinuou dependences, which produce effects of the type of multiplying a discontinuous function by a generalizd function. The constructed extensions in the special class of finitely additive measures make it possible to present the required solution,defined as an asymptotic analog of a reachable set, in terms of a continuous image of a compact, which is described with the use of the Stone space orresponding to the natural algebra of sets of the control interval. |
| 主题 | Advanced Systems Analysis (ASA) |
| 关键词 | filter base finitely additive measure attraction set generalized element ultrafilter |
| URL | http://pure.iiasa.ac.at/id/eprint/11308/ |
| 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/130266 |
| 推荐引用方式 GB/T 7714 | Chentsov AG. On the question of construction of an attraction set under constraints of asymptotic nature.. 2015. |
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