| 引用本文: | 汪志鸣, 戴浩晖, 王隔霞.非线性奇摄动系统的小增益增长条件[J].控制理论与应用,2007,24(4):617~620.[点击复制] |
| WANG Zhi-ming, DAI Hao-hui, WANG Ge-xia.Small gain growth condition of nonlinear singularly perturbed systems[J].Control Theory and Technology,2007,24(4):617~620.[点击复制] |
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| 非线性奇摄动系统的小增益增长条件 |
| Small gain growth condition of nonlinear singularly perturbed systems |
| 摘要点击 1344 全文点击 1167 投稿时间：2006-02-14 修订日期：2006-07-17 |
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| DOI编号 |
| 2007,24(4):617-620 |
| 中文关键词 渐近稳定 奇摄动系统 稳定界 半全局稳定 |
| 英文关键词 asymptotic stability singularly perturbed systems stability bound semi-global stability |
| 基金项目 国家自然科学基金资助项目(10671069); 上海市重点学科建设项目. |
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| 中文摘要 |
| 给出小增益增长条件使得在此条件下快慢子系统的渐近稳定性能够保证其原奇摄动系统的相应稳定性,并给出估计摄动参数的稳定界的解析表示及其应用例子. |
| 英文摘要 |
| A small gain growth condition is presented in this paper, under which the asymptotic stability of nonlinear singularly perturbed systems is guaranteed by the asymptotic stability of its fast and slow subsystems. Moreover, an explicit and closed form of stability bound on perturbation parameter is provided, and some examples in applications are given to illustrate the condition. |