| 一类非线性系统渐近稳定域的估计 |
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| 引用本文： | 崔侃,卢占会,肖倩,杨玉华.一类非线性系统渐近稳定域的估计[J].华北电力大学学报,2009,36(1). |
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| 作者姓名： | 崔侃 卢占会 肖倩 杨玉华 |
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| 作者单位： | 华北电力大学,数理学院,河北,保定,071003 |
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| 摘 要： | 通过构造合适的v函数,证明了一类非线性系统的正不变性质和正准紧性质,利用该系统的正不变性质和正准紧性质研究了系统的稳定性和吸引性,得到了该系统渐近稳定域估计的判别条件,推广并改进了已有文献中Liapunov渐近稳定域的结果。最后给出了上述结论的应用实例。
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| 关 键 词： | 稳定域 渐近稳定域 估计 不变性 正准紧性 |
Asymptotic stability domain estimate of a kind of nonlinear systems |
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| CUI Kan,LU Zhan-hui,XIAO Qian,YANG Yu-hua.Asymptotic stability domain estimate of a kind of nonlinear systems[J].Journal of North China Electric Power University,2009,36(1). |
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| Authors: | CUI Kan LU Zhan-hui XIAO Qian YANG Yu-hua |
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| Affiliation: | School of Mathematics and Physics;North China Electric Power University;Baoding 071003;China |
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| Abstract: | By constructing the appropriate v function,the positive invariance properties and positive precompactness of a kind of nonlinear systems was proved,which is used to research the stability and the attractiveness,the criterion of the estimates of asymptotic stability domains was derived,the result of Liapunov asymptotic stability domains in previous document was improved.At last,the example of application of above conclusion was given. |
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| Keywords: | stability domains asymptotic stability domains estimates invariance properties positive precompactness |
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