| 具重叠非线性项的一般Lurie系统的绝对稳定性 |
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| 引用本文： | 赵秀元. 具重叠非线性项的一般Lurie系统的绝对稳定性[J]. 大学数学, 2010, 26(6) |
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| 作者姓名： | 赵秀元 |
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| 作者单位： | 榆林学院,数学与应用数学系,榆林,719000 |
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| 摘 要： | 利用关于变元σ绝对稳定的概念,我们对具重叠非线性项的一般Lurie直接系统得到了绝对稳定的充要条件,并给出一个实用的充分条件.一个数值例子说明了本文结果的有效性.
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| 关 键 词： | 一般Lurie系统 绝对稳定性 重叠非线性项 Lyapunov函数 |
The Absolute Stability for General Lurie Systems with Superposition of Nonlinearities |
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| ZHAO Xiu-yuan. The Absolute Stability for General Lurie Systems with Superposition of Nonlinearities[J]. College Mathematics, 2010, 26(6) |
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| Authors: | ZHAO Xiu-yuan |
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| Abstract: | By applying the concept of absolute stability about the variable σ,the necessary and sufficient conditions of absolute stability are obtained,which are about general Lurie direct systems with superposition of nonlinearities,a sufficient conditions is also obtained.A numerical example illustrates the effectiveness of the results. |
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| Keywords: | general Lurie systems absolute stability superposition of nonlinearities Lyapunov function |
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