| 引用本文: | 刘少平.具线性脉冲的微分系统的稳定性[J].控制理论与应用,2004,21(4):549~552.[点击复制] |
| LIU Shao-ping.Stability of differential systems with linear impulse[J].Control Theory & Applications,2004,21(4):549~552.[点击复制] |
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| 具线性脉冲的微分系统的稳定性 |
| Stability of differential systems with linear impulse |
| 摘要点击 1984 全文点击 1318 投稿时间：2002-08-29 修订日期：2003-10-23 |
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| DOI编号 10.7641/j.issn.1000-8152.2004.4.013 |
| 2004,21(4):549-552 |
| 中文关键词 脉冲微分系统 平衡态 渐近稳定 |
| 英文关键词 differential systems with impulse equilibria asymptotic stability |
| 基金项目 |
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| 中文摘要 |
| 研究了具有线性脉冲作用的常微分系统平衡态的稳定性问题.应用常数变易法和Lyapunov方法,证明了在文中假设的条件下,总存在线性脉冲控制使一般非自治常微分系统的平衡态是一致渐近稳定.将自治微分系统作为特殊情形,在更一般的条件下得到了相同结论.最后给出了自治微分系统和非自治微分系统的两个例子以说明所得结论. |
| 英文摘要 |
| The stability of equilibria of ordinary differential systems with linear impulse is discussed.Using the method of the variation of parameters and the Lyapunov method,it was shown that there always existed a linear impulse such that differential systems were stable under some conditions.Especially,for autonomous ordinary differential systems,the same conclusion was drawn under more general conditions.Finally,two examples of autonomous system and non_autonomous system were given. |