| 非线性中立系统的稳定性条件 |
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| 引用本文： | 狄春燕,吴保卫,滕晓洁. 非线性中立系统的稳定性条件[J]. 云南师范大学学报(自然科学版), 2009, 29(1): 18-23 |
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| 作者姓名： | 狄春燕 吴保卫 滕晓洁 |
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| 作者单位： | 陕西师范大学数学与信息科学学院,陕西,西安,710062 |
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| 摘 要： | 研究了一类带有时变时滞的非线性中立系统时滞依赖的稳定性条件。通过选择适当的Lya—punov函数，使用牛顿莱布尼茨公式的变形，并且利用线性矩阵不等式（LMI）技术，得到了新的带有时变时滞的非线性中立系统时滞依赖的稳定性条件。最后，通过数值算例来说明此方法的可行性以及更低的保守性。
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| 关 键 词： | 中立系统 渐进稳定性 时变时滞 非线性 线性矩阵不等式(LMI) |
The Stability Condition of Nonlinear Neutral Systems |
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| DI Chun-yan,WU Bao-wei,TENG Xiao-jie. The Stability Condition of Nonlinear Neutral Systems[J]. Journal of Yunnan Normal University (Natural Sciences Edition), 2009, 29(1): 18-23 |
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| Authors: | DI Chun-yan WU Bao-wei TENG Xiao-jie |
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| Affiliation: | DI Chun -yan, WU Bao- wei, TENG Xiao -jie (College of Mathematics and Information Science. Shaanxi Normal University, Xihn 710062 China) |
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| Abstract: | This paper investigates the stability condition for a class of uncertain neutral systems with time - varying delays and nonlinear uncertainties. Choosen the approriate Lyapunov function, used the transform of Leibnitz - Newton formula and Linear Matrix Inequality （ LMI）, a new delay - dependent stability condition of nonlinear neutral systems with time - varying delays is derived. Finally, numerical examples show the effectiveness of our results and much less conservative . |
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| Keywords: | nrutral system asymptotically stability time - varyingdelays Nonlinear Linear Matrix Inequality （ LMI ） |
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