| 非线性系统零动态的对称性 |
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| 引用本文： | 孙文安,赵军. 非线性系统零动态的对称性[J]. 渤海大学学报(自然科学版), 2001, 22(1): 52-54 |
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| 作者姓名： | 孙文安 赵军 |
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| 作者单位： | 1. 大连大学计算中心,
2. 东北大学信息科学与工程学院, |
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| 摘 要： | 研究非线性系统零动态的对称性 ,证明了 ,如果非线性系统具有对称性 ,那么 ,它的零动态也具有对称性。局部零动态总可延伸到半全局的零动态 ,而且保持对称性。
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| 关 键 词： | Lie群 对称性 零动态 非线性系统 |
| 文章编号： | 1007-533X(2001)01-0052-03 |
| 修稿时间： | 2000-11-20 |
Symmetries of zero dynamics of nonlinear systems |
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| SUN Wen-an,ZHAO Jun. Symmetries of zero dynamics of nonlinear systems[J]. Journal of Bohai University:Natural Science Editio, 2001, 22(1): 52-54 |
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| Authors: | SUN Wen-an ZHAO Jun |
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| Affiliation: | SUN Wen an 1,ZHAO Jun 2 1.Computing Center,Dalian University,Dalian 116622,China, 2.School of Information Science,Northeastern University,Shenyang 110006,China |
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| Abstract: | Symmetries of zero dynamics of nonlinear systems are studied in this paper.A zero dynamics of a nonlinear system with symmetries is shown to have symmetries.Also,it is always possible to extend a local zero dynamics to a semiglobal one which still possesses symmetries. |
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| Keywords: | Lie group symmetries zero dynamics nonlinear systems |
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