Noether's Theorem of Nonholonomic Systems in Optimal Control
文献类型：期刊论文
| 作者 | Cai Pingping2; Song Duan1; Fu Jingli2 |
| 刊名 | ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
 |
| 出版日期 | 2016 |
| 卷号 | 32期号:4页码:875-882 |
| 关键词 | SYMMETRIES nonholonommic system symmetry conservation law Noether's theorem optimal control |
| ISSN号 | 0168-9673 |
| 其他题名 | Noether's Theorem of Nonholonomic Systems in Optimal Control |
| 英文摘要 | In this paper, we extend Noether's theorem to nonholonomic constraints systems in optimal control. We present a systematic way to calculate conserved quantities along the Pontryagin extremals for optimal control problems with nonholonomic constraints, which are invariant under the parameter groups of infinitesimal transformations that change all (time, state, control) variables. Meanwhile, the Noether equalities corresponding to the conservation laws are given. Then, we obtain a new version of Noether's theorem to optimal control systems. An example is given to illustrate the application of these results. |
| 资助项目 | [National Natural Science Foundation of China] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:5854032 |
| 源URL | [http://ir.imr.ac.cn/handle/321006/153952]  |
| 专题 | 金属研究所_中国科学院金属研究所 |
| 作者单位 | 1.中国科学院金属研究所 2.Zhejiang Sci Tech Univ, Institute Math Phys, Hangzhou 310018, Zhejiang, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cai Pingping,Song Duan,Fu Jingli. Noether's Theorem of Nonholonomic Systems in Optimal Control[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2016,32(4):875-882. |
| APA | Cai Pingping,Song Duan,&Fu Jingli.(2016).Noether's Theorem of Nonholonomic Systems in Optimal Control.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,32(4),875-882. |
| MLA | Cai Pingping,et al."Noether's Theorem of Nonholonomic Systems in Optimal Control".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 32.4(2016):875-882. |
入库方式： OAI收割
来源：金属研究所
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