| 引用本文: | 郭荣伟,王玉振.一类多平衡点线性切换系统稳定区域的估计[J].控制理论与应用,2012,29(4):409~414.[点击复制] |
| GUO Rong-wei,WANG Yu-zhen.Estimation of stability region for a class of switched linear systems with multiple equilibrium points[J].Control Theory and Technology,2012,29(4):409~414.[点击复制] |
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| 一类多平衡点线性切换系统稳定区域的估计 |
| Estimation of stability region for a class of switched linear systems with multiple equilibrium points |
| 摘要点击 2477 全文点击 2113 投稿时间：2011-03-23 修订日期：2011-06-22 |
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| DOI编号 10.7641/j.issn.1000-8152.2012.4.CCTA110284 |
| 2012,29(4):409-414 |
| 中文关键词 多平衡点切换系统 区域稳定分析 稳定区域 分量最终界法 |
| 英文关键词 multi-equilibrium switched system regional stability analysis stability region component-wise ultimatebound method |
| 基金项目 国家自然科学基金资助项目(G61074068, G61034007, G60774009); 教育部高校博士点专项资助项目(G20040422059); 山东省自然科学基金资助项目(ZR2010FM013). |
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| 中文摘要 |
| 本文研究了多平衡点线性切换系统稳定区域的估计问题, 并得到了估计该类系统稳定区域的新结果. 利用分量最终界法, 不仅得到了多平衡点线性切换系统在任意切换路径下稳定区域的估计, 而且得到了多平衡点线性切换系统在停留时间不小于其最小停留时间的任意切换路径下稳定区域的估计. 与现有的结果相比, 新得到的稳定区域的估计更加精确, 在一定程度上减少了估计的保守性. 最后, 数值实例的结果验证了上述结果的正确性和有效性. |
| 英文摘要 |
| We investigate the estimation of the stability region of a class of switched linear systems with multiple equilibrium points, and put forward a number of new results in this research. Using the component-wise ultimate-bound method, we estimate the stability region for a switched linear system with multi-equilibrium points when the system is switching around any switching path or around switching paths with dwell time not less than the minimum dwell time. In comparison with the existing results, the obtained estimate of the stability region is more precise and less onservative in the estimation property. Numerical simulation of an illustrative example shows the correctness and effectiveness of the proposed method. |