| 带有非线性扰动时变时滞系统新的稳定性判据 |
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| 引用本文： | 张雷,燕晓峰,田玉全,林崇. 带有非线性扰动时变时滞系统新的稳定性判据[J]. 青岛大学学报(工程技术版), 2014, 0(1): 12-16 |
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| 作者姓名： | 张雷 燕晓峰 田玉全 林崇 |
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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： | 针对一类带有非线性扰动的时变时滞系统的稳定性问题,本文通过构造适合的Lyapunov-Krasovskii泛函,运用交互式凸组合、时滞分解和积分不等式等方法,得到新的基于线性矩阵不等式的时滞相关稳定性新准则,并通过数值实例进行实验验证,实验结果表明,本文结果与文献[11-12]相比有较大改进,所用方法降低了结果的保守性,说明本文结果具有优越性和有效性。
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| 关 键 词： | 稳定性 时变时滞 非线性扰动 交互式凸组合 时滞分解 |
New Stability Criteria for Time-Delay Systems with Nonlinear Perturbations |
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| ZHANG Lei,YAN Xiao-feng,TIAN Yu-quan,LIN Chong. New Stability Criteria for Time-Delay Systems with Nonlinear Perturbations[J]. Journal of Qingdao University(Engineering & Technology Edition), 2014, 0(1): 12-16 |
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| Authors: | ZHANG Lei YAN Xiao-feng TIAN Yu-quan LIN Chong |
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| Affiliation: | 1.Institute of Complexity Science, Qingdao University, Qingdao 266071, China;) |
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| Abstract: | The problem of delay-dependent stability for time-delay systems with nonlinear perturbations is studied.A new delay-dependent stability criterion is proposed by using the reciprocally convex approach and delay decomposition.A numerical example is given to illustrate that our method could produee better results than those in[11-12],and thus shows the effectiveness and advantages compared with some recent methods.The method can be applied to other related problems such as the robust control for time-delay systems with perturbations. |
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| Keywords: | stability time-varying delay nonlinear perturbations reciprocally convex method delay decomposition |
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