| 几类非线性调节系统的稳定性 |
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| 引用本文： | 张孟秋.几类非线性调节系统的稳定性[J].湖南师范大学教育科学学报,1994(5). |
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| 作者姓名： | 张孟秋 |
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| 作者单位： | 湖南教育学院数学系 长沙 |
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| 摘 要： | 利用李森林教授与本文作者提出的思想方法和变换技巧,本文讨论了非线性调节系统:dx/dt=Ax+bf(σ),σ=C~Tx零解的渐近稳定性,获得了其零解渐近稳定的充分条件。所得的结果包括并推广了已有文献中的定理,克服了以前用大系统分解理论进行研究时所得的条件中,必须判断一个矩阵特征极实部为负的困难。
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| 关 键 词： | 非线性调节系统 渐近稳定性 变换技巧 充分条件 |
STABILITY OF CERTAIN NONLINEAR REGULATED SYSTEMS |
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| Zhang Mengqiu.STABILITY OF CERTAIN NONLINEAR REGULATED SYSTEMS[J].Journal of Educational Science of Hunan Normal University,1994(5). |
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| Authors: | Zhang Mengqiu |
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| Institution: | Zhang Mengqiu Department of Mathematics,Hunau Educational Institute,Changsha 410012 |
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| Abstract: | In this paper, the asymptotic stability of Rome classes of nonlinearcontrol systems is studied. The linear transformation and the method used inpaper by Li Senlin and the present author are used to obtain several sufficientconditions for the asymptotic stability of the zero solution of a nonlinearcontrol system. |
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| Keywords: | nonlinear regulated system asymptotic stability transformation move sufficient condition |
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