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具有时变时滞的Lurie系统绝对稳定性的时滞相关条件

何勇 吴敏

何勇, 吴敏. 具有时变时滞的Lurie系统绝对稳定性的时滞相关条件. 自动化学报, 2005, 31(3): 475-478.
引用本文: 何勇, 吴敏. 具有时变时滞的Lurie系统绝对稳定性的时滞相关条件. 自动化学报, 2005, 31(3): 475-478.
HE Yong, WU Min. Delay-dependent Conditions for Absolute Stability of Lurie Control Systems with Time-varying Delay. ACTA AUTOMATICA SINICA, 2005, 31(3): 475-478.
Citation: HE Yong, WU Min. Delay-dependent Conditions for Absolute Stability of Lurie Control Systems with Time-varying Delay. ACTA AUTOMATICA SINICA, 2005, 31(3): 475-478.

具有时变时滞的Lurie系统绝对稳定性的时滞相关条件

详细信息
    通讯作者:

    何勇

Delay-dependent Conditions for Absolute Stability of Lurie Control Systems with Time-varying Delay

More Information
    Corresponding author: HE Yong
  • 摘要: Some delay-dependent absolute stability criteria for Lurie control systems with time-varying delay are derived, in which some free-weighting matrices are used to express the relationships between the terms in the Leibniz-Newton formula. These criteria are based on linear matrix inequality(LMI) such that the upper bound of time-delay guaranteeing the absolute stability and the free-weighting matrices can be obtained through the solutions of the LMI. Moreover, the Lyapunov functional constructed by the solutions of these LMIs is adopted to guarantee the absolute stability of the systems. Finally, some examples are provided to demonstrate the effectiveness of the proposed methods.
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出版历程
  • 收稿日期:  2002-12-30
  • 修回日期:  2004-06-23
  • 刊出日期:  2005-05-20

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