| 非线性不确定中立系统的鲁棒稳定性 |
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| 引用本文： | 薛卫勤,吴保卫.非线性不确定中立系统的鲁棒稳定性[J].山西大学学报(自然科学版),2010,33(1). |
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| 作者姓名： | 薛卫勤 吴保卫 |
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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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| 基金项目： | 国家自然科学基金，陕西省自然科学基础研究计划项目 |
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| 摘 要： | 通过选择适当的Lyapunov函数,使用牛顿莱布尼茨公式,结合自由权矩阵思想,并利用线性矩阵不等式(LMI)方法,获得了时滞依赖和时滞导数依赖稳定性条件比现存的一些文献保守性小些.最后,通过数值算例来验证此方法的可行性.
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| 关 键 词： | 中立系统 稳定性 时变时滞 非线性 线性矩阵不等式(LMI) |
On Robust Stabilization of Neutral Systems with Nonlinear Uncertainties |
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| XUE Wei-qin,WU Bao-wei.On Robust Stabilization of Neutral Systems with Nonlinear Uncertainties[J].Journal of Shanxi University (Natural Science Edition),2010,33(1). |
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| Authors: | XUE Wei-qin WU Bao-wei |
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| Institution: | XUE Wei-qin,WU Bao-wei(College of Mathematics , Information Science,Shaanxi Normal University,Xi\'an 710062,China) |
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| Abstract: | By choosing the appropiate Lyapunov function and using the transform of Leibnitz-Newton formula as well as the free-weighting matrics and based on linear matrix inequality(LMI),the novel strategy is proposed,It is less conservative than previous ones for solving the problem both delay-dependent and delay-derivative-dependent stability criteria.Finally numerical examples showed the effectiveness of our results. |
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| Keywords: | neutral system stability time-varying delay nonlinearity linear matrix inequality(LMI) |
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