| 新的区间时变时滞广义系统的稳定性判据 |
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| 引用本文： | 燕晓峰,林崇,田玉全,张雷.新的区间时变时滞广义系统的稳定性判据[J].青岛大学学报(工程技术版),2013(4):6-12. |
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| 作者姓名： | 燕晓峰 林崇 田玉全 张雷 |
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| 作者单位： | 青岛大学复杂性科学研究所,山东青岛266071 |
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| 基金项目： | 国家自然科学基金资助项目（61174033）;山东省自然科学基金资助项目（ZR2011FM006） |
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| 摘 要： | 针对一类区间时变时滞广义系统的稳定性问题,本文通过采用新型的增广Lya-punov-Krasovskii泛函,在推导技术上,运用交互式凸组合以及积分不等式等方法处理时滞项,得到基于新的线性矩阵不等式的时滞相关稳定性判据,并通过数值实例进行验证,结果表明,本文方法与文献9]和13]相比较具有更低的保守性,能够获得使系统稳定所容许的最大时滞上界值.该方法可以推广到广义系统的H∞控制以及鲁棒控制等问题的研究中.
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| 关 键 词： | 广义系统 区间时变时滞 稳定性 线性矩阵不等式 交互式凸组合方法 |
New Delay-Dependent Stability Criteria for Singular Systems with Interval Time-Varying Delays |
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| YAN Xiao-feng,LIN Chong,TIAN Yu-quan,ZHANG Lei.New Delay-Dependent Stability Criteria for Singular Systems with Interval Time-Varying Delays[J].Journal of Qingdao University(Engineering & Technology Edition),2013(4):6-12. |
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| Authors: | YAN Xiao-feng LIN Chong TIAN Yu-quan ZHANG Lei |
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| Affiliation: | (Institute of Complexity Science, Qingdao University, Qingdao 266071, China) |
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| Abstract: | This paper is concerned with the problem of delay-dependent interval time-varying de and using the reciprocal ays. By constructing y convex method and bility criterion is established in terms of linear illustrate the improvement of the upper bound results. The method can be applied to the ot control for singular time-delay systems. a new type of augmente stability for singular systems with d Lyapunov-Krasovskii functional, the integral inequality technique a new delay-dependent sta- matrix inequalities （LMIs）. A numerical example is given to s of time-varying interval and the effectiveness of the present her related problems such as the H∞ control and the robust |
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| Keywords: | singular systems interval time-varying delay stability LMI reciprocally convex method |
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