| 引用本文: | 程代展 ，秦化淑.平面系统稳定性的间接方法*[J].控制理论与应用,2000,17(5):651~654.[点击复制] |
| Cheng Daizhan and Qin Huashu.Indirect Method for Stability of Plane Systems[J].Control Theory and Technology,2000,17(5):651~654.[点击复制] |
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| 平面系统稳定性的间接方法* |
| Indirect Method for Stability of Plane Systems |
| 摘要点击 813 全文点击 434 投稿时间：1997-09-10 修订日期：1998-02-17 |
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| DOI编号 |
| 2000,17(5):651-654 |
| 中文关键词 Routh 判据 区间矩阵 Jacobian猜想 稳定吸引域 滑模控制 |
| 英文关键词 Routh criteria interval matrixes Jacobian conjecture stability attraction reging sliding mode control |
| 基金项目 |
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| 中文摘要 |
| 利用Routh 判据得到的间接检验矩阵特征值的方法讨论平面系统的稳定性问题，对于线性系统，该方法给出平面区间矩阵稳定性的充要条件.对于非线性系统，Jacobian 猜想的已知结果[5]，该方法给出平面非线性系统稳定吸引域估计的一种算法.最后，该估计被利用于高维系统二维滑动模的设计. |
| 英文摘要 |
| Using Routh criteria the paper investigates the problems of stability of plane systems via indirect verification of the eigenvahues of matrixes. For linear systems, the method provides necessary and suffcient conditions for the stability of plane interval matrixes. In nonliear case, based on the results of [5]about the Jacobian conjecture, the method gives two algonrithms for estimating the stability attracton region of plane systems. Finally, such estimations are used to design two dimensional sliding mode of higher degree control systems. |