| 引用本文: | 杨 莹, 黄 琳.摄动类摆系统的总体性质及鲁棒稳定性[J].控制理论与应用,2003,20(1):8~12.[点击复制] |
| YANG Ying, HUANG Lin.Global properties and robust stability of perturbed pendulum-like systems[J].Control Theory and Technology,2003,20(1):8~12.[点击复制] |
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| 摄动类摆系统的总体性质及鲁棒稳定性 |
| Global properties and robust stability of perturbed pendulum-like systems |
| 摘要点击 1303 全文点击 1059 投稿时间：2001-05-28 修订日期：2002-05-20 |
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| DOI编号 10.7641/j.issn.1000-8152.2003.1.002 |
| 2003,20(1):8-12 |
| 中文关键词 参数摄动 类摆系统 双态性 Lagrange稳定性 Bakaev稳定性 |
| 英文关键词 parameter perturbations pendulum-like systems dichotomy Lagrange stability Bakaev stability |
| 基金项目 国家重点基础研究专项经费(G1998020302); 国家自然科学基金(10272001)资助项目 |
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| 中文摘要 |
| 研究了一类特殊的非线性控制系统———类摆系统在线性相关参数摄动下的总体性质及鲁棒稳定性,运用顶点检验和鲁棒严格正实性理论,得到了类摆系统在上述摄动模式下双态、Lagrange稳定及Bakaev稳定的条件.结果表明对于这类系统,可以通过有限检验分析其解的总体性质及鲁棒稳定性. |
| 英文摘要 |
| The global properties and robust stability of pendulumlike systems under linearly correlated parameter perturbations were studied. Based on the vertex test and robust strictly positive realness theory, sufficient conditions for dichotomy, Lagrange stability and Bakaev stability are derived for the systems in the perturbation mode. The main results show that the global properties and the robust stability of such systems can be analyzed by using the finite element test. |