| 非线性系统的线性对称结构 |
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| 引用本文： | 洪奕光.非线性系统的线性对称结构[J].系统科学与数学,1994,14(1):091-096. |
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| 作者姓名： | 洪奕光 |
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| 作者单位： | 中国科学院系统科学研究所 |
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| 摘 要： | 非线性系统的线性对称结构洪奕光，程代展（中国科学院系统科学研究所，北京１０００８０）１９９１年１２月２０日收到．１９９３年９月１６日收到压缩稿，一、引言近年来，人们对非线性控制系统对称性问题的研究很感兴趣．这主要是因为现实世界存在着大量的对称现象，而...
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THE LINEAR SYMMETRIC STRUCTURE OF NONLINEARCONTROL SYSTEMS |
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| HONG YI-GUANG,CHENG DAI--ZHAN.THE LINEAR SYMMETRIC STRUCTURE OF NONLINEARCONTROL SYSTEMS[J].Journal of Systems Science and Mathematical Sciences,1994,14(1):091-096. |
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| Authors: | HONG YI-GUANG CHENG DAI--ZHAN |
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| Institution: | (1)Institute of Systems Science, Academia Sinica, Beijing 100080;(2)Institute of Systems Science, Academia Sinica, Beijing 100080 |
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| Abstract: | In this paper, we consider the linear symmetry of nonlinear systems. First ofall, we introduce some concepts concerning this topic. Then we given a summary ofour results in the reference articles 3-5]. After that, we discuss the case of nonlinear systems which have more than two dimensions. In particular, we analyze 3dimensional systems in detail. Lastly, some results about the highest-dimensional symmetric subgroup of nonlinear systems are given. |
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