| 一类双线性系统的稳定性 |
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| 引用本文： | 曾小龙. 一类双线性系统的稳定性[J]. 纯粹数学与应用数学, 1994, 0(1) |
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| 作者姓名： | 曾小龙 |
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| 作者单位： | 陕西工商学院 |
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| 摘 要： | 本文综合利用ＬｙａｐｕｎｏｖＶ－函数，ＬａＳａｌｌｅ不变性原理和构造正向不变集的方法，讨论了二维齐次状态双线性系统（１）的全局Ｌｙａｐｕｎｏｖ渐近稳定性，发展了文［１］、［２］的结果．
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| 关 键 词： | 二维齐次状态双线性系统，全局渐过稳定，J矩阵，［M］_8矩阵，焦矩阵，中心矩阵，正定矩阵，半正定矩阵，负定矩阵，半负定矩阵 |
THE STABILITY OF A KIND OF BILINEAR SYSTEMS |
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| Zeng Xiaolong. THE STABILITY OF A KIND OF BILINEAR SYSTEMS[J]. Pure and Applied Mathematics, 1994, 0(1) |
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| Authors: | Zeng Xiaolong |
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| Abstract: | In this paper, the mothods or Lyapunov V-function, LaSalle invariant principle and positive invariant set are mixedly employed to study the stability or bidimenssional homogenous bilinear control systems. The results of [1] and [2] are developed. |
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| Keywords: | Bilinear control System Asymptotic stability J matrix. |
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