| 具滞后超中立型时变线性大系统的稳定性 |
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| 引用本文： | 周慧珍.具滞后超中立型时变线性大系统的稳定性[J].五邑大学学报(自然科学版),2014(3):11-15. |
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| 作者姓名： | 周慧珍 |
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| 作者单位： | 湖北科技学院数学与统计学院,湖北咸宁437100 |
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| 基金项目： | 湖北科技学院校级科研资助项目（KY13061） |
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| 摘 要： | 根据大系统分解集结思想,利用加权向量范数型李雅谱诺夫函数构造变系数线性超中立型时滞大系统的集结系统,运用比较原理和时域中的微分积分不等式,讨论相应集结系统的稳定性,从而获得具滞后超中立型时变线性大系统的稳定性.
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| 关 键 词： | 滞后 超中立型 时变线性大系统 稳定性 |
Stability of the Hyperneutral Type Variable Coefficient Linear Large Scale System with Delays |
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| ZHOU Hui-zhen.Stability of the Hyperneutral Type Variable Coefficient Linear Large Scale System with Delays[J].Journal of Wuyi University(Natural Science Edition),2014(3):11-15. |
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| Authors: | ZHOU Hui-zhen |
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| Institution: | ZHOU Hui-zhen (Department of Mathematics and Statistics, Hubei University of Science and Technology, Xianning 437100, China) |
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| Abstract: | According to the idea of the large scale system dispersion and concentration, a massing system for the hyperneutral type variable coefficient linear large scale system with delays is constructed by using the Lyapunov function with weighted vector norm. Then, by means of the comparison principle and the differential-integral inequality in time domain, the stability of the massing system is discussed so as to obtain the stability of the hyperneutral type variable coefficient linear large scale system with delays. |
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| Keywords: | delays hyperneutral type large time-varying linear systems stability |
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