| 一类时滞切换系统的稳定性分析 |
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| 引用本文： | 赵立英,张志强,赵向奎.一类时滞切换系统的稳定性分析[J].控制与决策,2011,26(7):1113-1116. |
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| 作者姓名： | 赵立英 张志强 赵向奎 |
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| 作者单位： | 北京科技大学数理学院,北京,100083 |
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| 基金项目： | 北京科技大学冶金工程研究院基础理论基金项日(00009504) |
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| 摘 要： | 利用时滞分解和平均驻留时间方法讨论一类时滞切换系统的稳定性问题.定义了更为一般的Lyapunov函数,结合Jensen积分不等式和倒数凸组合技术得到的线性矩阵不等式条件具有更小的保守性和更低的计算复杂性给出的仿真算例进一步验证了所得结果的有效性.
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| 关 键 词： | 切换系统 时滞 稳定性 Lyapunov函数 |
| 收稿时间： | 2010/12/29 0:00:00 |
| 修稿时间： | 2011/1/19 0:00:00 |
Stability analysis of a class of switched systems with time delay |
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| ZHAO Li-ying,ZHANG Zhi-qiang,ZHAO Xiang-kui.Stability analysis of a class of switched systems with time delay[J].Control and Decision,2011,26(7):1113-1116. |
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| Authors: | ZHAO Li-ying ZHANG Zhi-qiang ZHAO Xiang-kui |
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| Affiliation: | ZHAO Li-ying,ZHANG Zhi-qiang,ZHAO Xiang-kui (School of Mathematics and Physics,University Science & Technology Beijing,Beijing 100083,China. |
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| Abstract: | By using a delay decomposition approach and the average dwell time technique,the stability of a class of linear switched systems with time-varying delay is concerned.Then a more general Lyapunov function is defined.Combined with Jensen integral inequality and reciprocally convex approach,sufficient LMI conditions which have less conservatism and low computational complexity are obtained.A simulation example illustrates the effectiveness of the proposed method. |
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| Keywords: | switched systems time delay stability Lyapunov function |
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