| 区间不连续动力系统的鲁棒稳定性 |
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| 引用本文： | 孙继涛.区间不连续动力系统的鲁棒稳定性[J].湖南科技大学学报(自然科学版),2003,18(2):52-55. |
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| 作者姓名： | 孙继涛 |
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| 作者单位： | 同济大学,应用数学系,上海,200092 |
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| 摘 要： | 对区间不连续动力系统的鲁棒稳定性进行了研究。引进了区间不连续动力系统鲁棒稳定和区间矩阵稳定的定义,用定性分析方法给出了区间不连续动力系统及区间不连续大系统鲁棒稳定和区间矩阵及具分解的区间矩阵稳定的判据。并给出了数值例子说明结论的有效性。参27。
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| 关 键 词： | 不连续 动力系统 区间矩阵 稳定性 鲁棒性 |
| 文章编号： | 1000-9930(2003)02-0052-04 |
| 修稿时间： | 2002年10月30 |
Robust stability for interval discontinuous dynamical system |
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| SUN Ji-tao.Robust stability for interval discontinuous dynamical system[J].Journal of Hunan University of Science & Technology(Natural Science Editon),2003,18(2):52-55. |
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| Authors: | SUN Ji-tao |
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| Abstract: | To research robust stability for interval discontinuous dynamical system,we introduce the concepts of robust stability for interval discontinuous dynamical system and stability of interval matrix. Making use of qualitative analysis method, we established some sufficient conditions of robust stability for interval discontinuous dynamical systems and interval interconnected discontinuous dynamical system. Meanwhile,the sufficient conditions of stability for interval matrix and decomposed interval matrix are obtained. Example is made to illustrate our results. 27refs. |
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| Keywords: | discontinuity dynamical system interval matrix stability robustness |
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