| 引用本文: | 苏晓明, 张庆灵.广义区间系统的稳定性与二次能稳分析[J].控制理论与应用,2003,20(1):17~20.[点击复制] |
| SU Xiao-ming, ZHANG Qing-ling.On stability and quadratic stabilization of singular interval systems[J].Control Theory and Technology,2003,20(1):17~20.[点击复制] |
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| 广义区间系统的稳定性与二次能稳分析 |
| On stability and quadratic stabilization of singular interval systems |
| 摘要点击 1610 全文点击 1386 投稿时间：2001-08-02 修订日期：2002-06-11 |
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| DOI编号 |
| 2003,20(1):17-20 |
| 中文关键词 广义区间系统 Lapunov方法 结构稳定 二次能稳 |
| 英文关键词 singular interval system Lyapunov method structural stability quadratic stabilization |
| 基金项目 |
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| 中文摘要 |
| 对于一类广义区间系统,利用Lyapunov方法,研究了该系统的稳定性.通过广义Lyapunov不等式的建立,得到了此系统结构稳定的充分必要条件是广义Lyapunov不等式有解.在此基础上,建立了广义Riccati不等式,由此不等式得到了此系统二次能稳的充要条件是广义Riccati不等式有解.这些结果将对进一步研究此系统有着重要的基础作用.最后,举例说明了主要结果. |
| 英文摘要 |
| The stability problem for a class of singular interval systems is considered. Through the establishment of a generalized Lyapunov inequality, a necessary and sufficient condition is derived for the systems to be structurally stable. The condition is that the generalized Lyapunov inequality has solutions. Then, another generalized Riccati inequality is founded. From the inequality, a necessary and sufficient condition for the systems to be quadratically stabilizable is established. The condition is that the generalized Riccati inequality has solutions. Two numerical examples are presented to illustrate the results. |
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