| 部分状态非线性系统稳定性分析 |
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| 引用本文： | 屈百达,刘寅生.部分状态非线性系统稳定性分析[J].沈阳理工大学学报,1998,17(4):17-21. |
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| 作者姓名： | 屈百达 刘寅生 |
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| 作者单位： | 沈阳工业学院专科学校 |
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| 摘 要： | 应用一类连续可导的Ｌｙａｐｕｎｏｖ函数，提出了带部分非线性状态的动态系统，在平衡点ｘｅ＝０为全局渐近稳定的充分条件，并利用Ｌｙａｐｕｎｏｖ函数的二乘形式，得到了判别系统稳定的充分必要条件。
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| 关 键 词： | 稳定性 非线性系统 部分非线性状态 动态系统 |
A Analysis of Stability for Systems with Partially Non Linear States |
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| Qu Baida,Liu Yinsheng.A Analysis of Stability for Systems with Partially Non Linear States[J].Transactions of Shenyang Ligong University,1998,17(4):17-21. |
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| Authors: | Qu Baida Liu Yinsheng |
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| Abstract: | By applying a class of continual and derivable Lyapunov function,a sufficient condition for dynamic systems with partially non linear states,which are globally asymptotically stable at the equilibrium point x e =0,is proposed.And making use of a quatratic form of Lyapunov function,a sufficient and necessary condition to examine the stability of the systems is attained. |
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| Keywords: | stability partially non linear state Lyapunov function |
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