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不确定时滞微分中立系统的稳定性条件

The stability criteria for uncertain neutral delay differential systems
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摘要 目的研究不确定微分中立系统带有时变时滞的稳定性问题,所考虑的系统带有时变结构不确定项和时变时滞。方法采用Lyapunov-Krasovskii泛函理论和线性矩阵不等式(LMI)。结果导出该系统时滞依赖渐近稳定性条件。结论用一个数值算例来说明此方法的可行性以及更低的保守性。 Aim To study the stability criterion for uncertain neutral delay differential systems with time delays, the systems under consideration have variable structure with uncertainties and time- varying delay at times. Methods Lyapunov functional and Linear Matrix Inequality(LMI) are adopted. Results It was proved that a delay-dependent criterion for asymptotic stability. Conclusion Numerical examples show the effectiveness of our result and much less conservation.
出处 《宝鸡文理学院学报(自然科学版)》 CAS 2009年第4期7-11,共5页 Journal of Baoji University of Arts and Sciences(Natural Science Edition)
基金 国家自然科学基金项目(10571114) 陕西省自然科学基础研究计划项目(SJ08A20)
关键词 稳定性 中立系统 时变时滞 线性矩阵不等式(LMI) LYAPUNOV理论 stability neutral systems time-varying delays linear matrix inequality(LMI) Lyapunov theory
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参考文献14

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