| 引用本文: | 吴方向,史忠科,戴冠中.动态区间系统的鲁棒稳定性[J].控制理论与应用,2001,18(1):113~115.[点击复制] |
| WU Fang-Xiang,SHI Zhong-ke,DAI Guan-zhong.On Robust Stability of Dynamic Interval Systems[J].Control Theory and Technology,2001,18(1):113~115.[点击复制] |
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| 动态区间系统的鲁棒稳定性 |
| On Robust Stability of Dynamic Interval Systems |
| 摘要点击 1830 全文点击 1788 投稿时间：1998-07-06 修订日期：1999-10-13 |
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| DOI编号 10.7641/j.issn.1000-8152.2001.1.026 |
| 2001,18(1):113-115 |
| 中文关键词 连续/离散的区间系统 区间矩阵 Riccati 方程方法 鲁棒稳定性 |
| 英文关键词 continuous/discrete interval system interval matrix Riccati equation approach robust stability |
| 基金项目 国家重点基础研究发展规划项目(G1998030417)和航空自选课题(98DX0901)资助项目. |
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| 中文摘要 |
| 研究了动态连续区间系统和离散区间系统的鲁棒稳定性问题. 在给出了区间系统的一种等价描述之后, 利用Lyapunov方法和Riccati方程方法,分别得到了连续区间系统和离散区间系统鲁棒稳定的充分条件. 最后的数值例子说明本文的结果不仅保守性小,而且计算简单. |
| 英文摘要 |
| In engineering ,many systems can be described by dynamic interval systems. However ,the stability criteria for interval systems in the existing literatures are either too conservative ,or too difficult in application. We firstly present a kind of equivalent description of interval systems. Then by employing Lyapunov method and Riccati equation approach, some simple sufficient conditions of robust stability for dynamic continuous and discrete interval systems are obtained ,respectively. These conditions can be tested by only solving Riccati inequalities (Eq.(3.1) and (Eq.(3.2)) or equivalently by computing H∞ norm (Eq.(3.2)). The numerical example shows that our result is not only less conservative ,but also simple and easy to implement. |
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