| 时滞奇异摄动系统鲁棒稳定性分析 |
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| 引用本文： | 刘丽丽.时滞奇异摄动系统鲁棒稳定性分析[J].纺织高校基础科学学报,2009,22(4):496-499. |
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| 作者姓名： | 刘丽丽 |
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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： | 陕西省自然科学基础研究计划资助项目，陕西师范大学青年科技项目 |
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| 摘 要： | 讨论了时滞奇异摄动系统的鲁棒稳定问题.通过选择恰当的Lyapunov-Krasovskii泛函,得到了带有状态时滞的奇异摄动系统的一种新的时滞相关的稳定性判据,并将该结论进一步推广到含有可容许不确定性的时滞奇异摄动系统.这些稳定性条件均为线性矩阵不等式形式,可由LMI工具箱中的求解器求解.数值实例验证了该方法的可行性和有效性.
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| 关 键 词： | 奇异摄动系统 时滞 稳定 线性矩阵不等式 |
Robust stability of singularly perturbed systems with time delay |
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| LIU Li-li.Robust stability of singularly perturbed systems with time delay[J].Basic Sciences Journal of Textile Universities,2009,22(4):496-499. |
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| Authors: | LIU Li-li |
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| Abstract: | Stability problem of singularly perturbed systems is discussed.Some new delay-dependent stability criteria are derived by employing appropriate Lyapunov-Krasovskii functional.Furthermore,results are also extended to singularly perturbed systems with admissible uncertainties.All the conditions are formulated by LMI which can be solved by LMI toolbox in MATLAB.Simulated examples show that the method is feasible and effective. |
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| Keywords: | singularly perturbed systems time delay stability linear matrix inequality |
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