| 来源类型 | Article |
| 规范类型 | 其他 |
| Relaxation of optimal control problems and linear-quadratic systems. | |
| Kryazhimskiy AV | |
| 发表日期 | 2012 |
| 出处 | Dynamics of Continuous, Discrete and Impulsive Systems, Series B (DCDIS-B) 19 (1): 17-42. |
| 出版年 | 2012 |
| 语种 | 英语 |
| 摘要 | The paper suggests an approach to characterizing global solutions for optimal control problems with integral objective functions. The approach is based on relaxation of the system's states to probability measures on the system's state space. The associated relaxed control problem falls, typically, to the scope of convex optimization problems with linear equality constraints. Under additional conditions assuming, in particular, that the objective function and state equation are linear-quadratic in the state variable, the equivalency of the original and relaxed problems is proved and a successive solution approximation method is constructed. |
| 主题 | Advanced Systems Analysis (ASA) |
| 关键词 | Global optimization Non-convex optimization Optimal control Relaxation of optimization problems Successive optimization methods |
| URL | http://pure.iiasa.ac.at/id/eprint/10017/ |
| 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/129432 |
| 推荐引用方式 GB/T 7714 | Kryazhimskiy AV. Relaxation of optimal control problems and linear-quadratic systems.. 2012. |
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