| 引用本文: | 赵军，张嗣瀛.关于非线性系统的对程性、可达性与可控性*[J].控制理论与应用,1992,9(2):148~154.[点击复制] |
| ZHAO Jun and ZHANG Siying.On Symmetries, Reachability and Controllability of Nonlinear Systems[J].Control Theory and Technology,1992,9(2):148~154.[点击复制] |
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| 关于非线性系统的对程性、可达性与可控性* |
| On Symmetries, Reachability and Controllability of Nonlinear Systems |
| 摘要点击 1775 全文点击 544 投稿时间：1990-11-01 修订日期：1991-05-21 |
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| DOI编号 |
| 1992,9(2):148-154 |
| 中文关键词 Lie群 对称性 可达性 可控性 |
| 英文关键词 Lie group symmetries reachability controllability |
| 基金项目 |
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| 中文摘要 |
| 本文讨论对称及广义对称非线性系统的可达性与可控性。文中证明了如果广义对称系统在一点的领域可控，那么系统在包含该点群作用轨道的一个开集上是可控的。利用广义对称性还给出了控制律的原则算法。对于对称系统，给出了可控性的充要条件。 |
| 英文摘要 |
| This paper discusses the reachability and the controllability of symmetric and generalized symmetric systems. It is shown that if a generalized symmetric system is controllable on a neighborhood of a point, then the system is controllable on some open set which includes the group action-orbit at the point. With generalized symmetries an approach to calculate control laws is given in principle. A sufficient and necessary condition of controllability for symmetric systems is also presented in this paper. |