| 利用二次分解——集结法研究离散大系统的稳定性 |
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| 引用本文： | 吕绍明,周旭.利用二次分解——集结法研究离散大系统的稳定性[J].河南师范大学学报(自然科学版),1991(2):1-9. |
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| 作者姓名： | 吕绍明 周旭 |
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| 作者单位： | 河南师范大学数学系，河南师范大学数学系 |
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| 摘 要： | 本文分别用标量李雅普诺夫函数和向量李雅普诺夫函数利用二次分解——集结法,给出了由差分方程所描述的离散大系统的全局一致渐近稳定的三个充分条件,还用标量李雅普诺夫函数给出了大系统全局指数稳定的一个充分条件。
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| 关 键 词： | 离散大系统 分解——集结 稳定性 |
ON STABILITY OF LARGE SCALE DISCRETE TIME DYNAMICAL SYSTEMS BY USING TWICE DECOMPOSITION AGGREATION |
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| Lu Shaoming,Zhou Xu.ON STABILITY OF LARGE SCALE DISCRETE TIME DYNAMICAL SYSTEMS BY USING TWICE DECOMPOSITION AGGREATION[J].Journal of Henan Normal University(Natural Science),1991(2):1-9. |
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| Authors: | Lu Shaoming Zhou Xu |
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| Institution: | Lu Shaoming;Zhou Xu Department of Mathematics |
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| Abstract: | In this paper,we have cstabilish three sufficient conditions to assure the uniformly asymptotically stable in the largefor large scale discrete time dynamical systems by using the methods of scalar and vector Lyapunovs functionsrespectively and a sufficient conditions to assure the exponentially stable in the large for large scale discrete timedynamcal systems by using scalar Lyapunavs function.The method of decomposition aggregation is used twice. |
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| Keywords: | large scale discarete time dynamical systems dccompsition aggregation |
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