| 一类具有时滞的线性区间动力系统的鲁棒稳定性 |
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| 引用本文： | 魏晓燕,卢占会,严艳,杨玉华. 一类具有时滞的线性区间动力系统的鲁棒稳定性[J]. 华北电力大学学报(自然科学版), 2007, 34(4): 96-99,103 |
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| 作者姓名： | 魏晓燕 卢占会 严艳 杨玉华 |
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| 作者单位： | 华北电力大学,数理学院,河北,保定,071003;华北电力大学,数理学院,河北,保定,071003;华北电力大学,数理学院,河北,保定,071003;华北电力大学,数理学院,河北,保定,071003 |
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| 摘 要： | 研究了主对角线上不含零点的线性区间动力系统和该系统带有时滞情况的稳定性。通过构造Lyapunov函数,得到了主对角线上不含零点的线性区间动力系统的鲁棒稳定与不稳定的判定定理,以及其带有时滞的区间动力系统的鲁棒全局稳定,鲁棒稳定,鲁棒不变的充分条件,所得结论只需判断一个常数矩阵是否为M矩阵。最后给出了上述结论的应用实例。
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| 关 键 词： | 区间矩阵 时滞 鲁棒全局稳定性 鲁棒稳定性 Lyapunov函数 |
| 文章编号： | 1007-2691（2007）04-0096-04 |
| 修稿时间： | 2006-12-21 |
Robust stability of a kind of linear interval systems with time-delay |
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| WEI Xiao-yan,LU Zhan-hui,YAN Yan,YANG Yu-hua. Robust stability of a kind of linear interval systems with time-delay[J]. Journal of North China Electric Power University, 2007, 34(4): 96-99,103 |
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| Authors: | WEI Xiao-yan LU Zhan-hui YAN Yan YANG Yu-hua |
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| Affiliation: | School of Mathematics and Physics, North China Electric University, Baoding 071003, China |
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| Abstract: | By employing Lyapunov function,the sufficient conditions for robust stability of a special dynamic interval systems with interval matrix of non-zero in the diagonal were obtained,the global robust stability and robustl stability for the special dynamic systems with time-delay were obtained respectively.These conditions can be easily used because it needs only to test a matrix whether it is a M matrix.Example shows that the result is simple and easy to implement. |
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| Keywords: | interval matrices time-delay global robust stability robust stability Lyapunov function |
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