| 一类不确定时滞脉冲切换系统的稳定性 |
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| 引用本文： | 秦雯,董亚丽.一类不确定时滞脉冲切换系统的稳定性[J].天津工业大学学报,2011,30(3):81-84. |
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| 作者姓名： | 秦雯 董亚丽 |
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| 作者单位： | 天津工业大学理学院,天津,300160 |
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| 基金项目： | 国家自然科学基金资助项目，天津市自然科学基金 |
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| 摘 要： | 研究一类时滞不确定脉冲切换系统的稳定性,提出了切换律的设计方法.利用多Lyapunov泛函方法及矩阵不等式技术,给出了保证这类不确定脉冲切换时滞系统渐近稳定的充分条件.然后针对一类不确定脉冲切换系统,获得了该类系统在适当切换律下渐近稳定的充分条件.最后,给出数值例说明所获结果的有效性.
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| 关 键 词： | 多Lyapunov泛函 切换脉冲系统 时滞 不确定性 |
Stability for a class of impulsive switched uncertain systems with time-delay |
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| QIN Wen,DONG Ya-li.Stability for a class of impulsive switched uncertain systems with time-delay[J].Journal of Tianjin Polytechnic University,2011,30(3):81-84. |
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| Authors: | QIN Wen DONG Ya-li |
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| Affiliation: | (School of Science,Tianjin Polytechnic University,Tianjin 300160,China) |
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| Abstract: | Stability for a class of uncertain impulsive switched systems with time delay is investigated.The design method of switching law is proposed.Based on the multiple Lyapunov functional method and the matrix inequality technology,the sufficient conditions that guarantee the switched impulsive time-delay system with uncertain parameters is asymptotically stable are given.Then,under appropriately switching law,the sufficient conditions are obtained,which guarantee the class of systems is asymptotically stable.Finally,a numerical example is presented to illustrate the effective of the results obtained. |
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| Keywords: | multiple Lyapunov functional switched impulsive systems time-delay uncertainty |
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