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| 脉冲系统输入—输出到状态稳定的Lyapunov条件 | |
| 引用本文： | 慕小武,高永良. 脉冲系统输入—输出到状态稳定的Lyapunov条件[J]. 数学的实践与认识, 2011, 41(15) |
| 作者姓名： | 慕小武 高永良 |
| 作者单位： | 1. 郑州大学数学系,河南 郑州,450052 2. 郑州大学数学系,河南 郑州450052;中原工学院理学院,河南郑州450007 |
| 基金项目： | 国家自然科学基金(60874006) |
| 摘 要： | 在一定的条件下,通过对时间域分割成不同的区间段然后应用Lyapunov函数分析方法给出了脉冲系统输入—输出到状态稳定(IOSS)的一个充分条件,另外,讨论了积分输入—输出到状态稳定的情况. |
| 关 键 词： | 脉冲系统 输入—输出到状态稳定 积分输入—输出到状态稳定 |
Lyapunov Conditions for Input-Output to-State Stability of Impulsive Systems |
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| MU Xiao-wu,GAO Yong-liang. Lyapunov Conditions for Input-Output to-State Stability of Impulsive Systems[J]. Mathematics in Practice and Theory, 2011, 41(15) | |
| Authors: | MU Xiao-wu GAO Yong-liang |
| Affiliation: | MU Xiao-wu~1,GAO Yong-liang~(1,2) (1.Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China) (2.College of Science,Zhongyuan University of Technology,Zhengzhou 450007,China) |
| Abstract: | This paper studies input-output to-state stability and integral input-output tostate stability of impulsive systems.Through dividing the time scales into different intervals and then by employing the analysis method of Lyapunov functions,we provided a set of Lyapunov-based sufficient conditions for establishing these properties. |
| Keywords: | impulsive systems input-output to-state stability integral input-output tostate stability |
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