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Finite-Time Stability of Uncertain Nonlinear Systems with Time-Varying Delay

机译:时滞不确定的非线性系统的有限时间稳定性

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摘要

The problem of finite-time stability for a class of uncertain nonlinear systems with time-varying delay and external disturbances is investigated. By using the Lyapunov stability theory, sufficient conditions for the existence of finite-time state feedback controller for this class of systems are derived. The results can be applied to finite-time stability problems of linear time-delay systems with parameter uncertainties and external disturbances. Finally, two numerical examples are given to demonstrate the effectiveness of the obtained theoretical results.
机译:研究了一类具有时变时滞和外部干扰的不确定非线性系统的有限时间稳定性问题。通过使用Lyapunov稳定性理论,得出了此类系统存在有限时间状态反馈控制器的充分条件。该结果可用于具有参数不确定性和外部干扰的线性时滞系统的有限时间稳定性问题。最后,给出两个数值例子来说明所获得理论结果的有效性。

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  • 来源
    《Mathematical Problems in Engineering》 |2017年第9期|2538904.1-2538904.9|共9页
  • 作者单位

    Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China;

    Jinan Presch Educ Coll, Primary Educ Dept, Jinan 250307, Shandong, Peoples R China;

    Beijing Univ Technol, Coll Automat, Beijing 100124, Peoples R China;

    Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China;

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