| 引用本文: | 井元伟，胡三清，刘晓平，张嗣瀛.可解的具有广义对称性的非线性系统的同构分解与可控性 *[J].控制理论与应用,1996,13(2):259~263.[点击复制] |
| JING Yuanwei，HU Sanqing，LIU Xiaoping and ZHANG Siying.Isomorphic Decompositon and Controllability of Systems Possessing Solvable General Symmetries[J].Control Theory and Technology,1996,13(2):259~263.[点击复制] |
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| 可解的具有广义对称性的非线性系统的同构分解与可控性 * |
| Isomorphic Decompositon and Controllability of Systems Possessing Solvable General Symmetries |
| 摘要点击 883 全文点击 427 投稿时间：1994-10-05 修订日期：1995-10-17 |
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| DOI编号 |
| 1996,13(2):259-263 |
| 中文关键词 广义对称 同构分解 可解 可控性 |
| 英文关键词 general symmetries isomorphic decompositon solvable controllability |
| 基金项目 |
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| 中文摘要 |
| 本文讨论了一类具有广义对称性的非线性系统的同构分解及其可控性问题．首先提出了可解的具有广义对称性的系统的概念，然后推出了此类系统的以商系统为基本构造的分解形式，最后证明了此类系统可控性在一定条件下可由分解后的系统的可控性来确定的结论，同时得到了相应的充要条件． |
| 英文摘要 |
| The paper，dealt with problems on isomorphic decompositon and controllability of a class of nonlinear systems possessing general symmetries.First，a concept called solvable systems of general symmetries was given.And then the isomorphic decompositon formations of these systems were drawn.The proposed formations are based on quotient systems.Finally，it has been shown that controllability of the former system，under certain conditions，can be determined by the later system being obtained through isomorphic decompositon.And a corresponding sufficient and necessary condition was give. |