| 可分离变量微分自治系统的指数稳定性 |
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| 引用本文： | 蹇继贵. 可分离变量微分自治系统的指数稳定性[J]. 三峡大学学报(自然科学版), 2004, 26(2): 183-185 |
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| 作者姓名： | 蹇继贵 |
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| 作者单位： | 三峡大学,理学院,湖北,宜昌,443002 |
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| 摘 要： | 利用Lyapunov函数，通过分析技巧，在所给函数为Lipschitz连续的情况下，讨论了可分离变量系统的平衡点的全局指数稳定性，获得了几个简便代数判据，为实际应用提供了方便。
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| 关 键 词： | Lyapunov函数 分离变量 全局指数稳定性 稳定性 平衡点 自动控制理论 |
| 文章编号： | 1007-7081(2004)02-0183-03 |
| 修稿时间： | 2003-12-18 |
Exponential Stability of Differential Autonomous Systems with Separated Variables |
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| Jian Jigui. Exponential Stability of Differential Autonomous Systems with Separated Variables[J]. Journal of China Three Gorges University(Natural Sciences), 2004, 26(2): 183-185 |
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| Authors: | Jian Jigui |
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| Abstract: | Based on Lipschitz continuous functions, the globally exponential stability of equilibrium states of a class of nonlinear autonomous systems with separated variables are investigated by means of the analysis technique and some sufficient conditions which are obviously easy to be used,of globally exponential stability for the type of systems are obtained. |
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| Keywords: | separated variables globally exponential stability Lyapunov function |
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