New robust stability criteria of systems with time-varying delays

机译：时变时滞系统的新鲁棒稳定性准则

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摘要

In this paper, we deals with the problem of the robust stability of a linear system with a time-varying delay and polytopic-type uncertainties via homogeneous polynomial forms. An type of transformation related to the homogeneous polynomial function for stability analysis of linear system subject to time-varying parametric uncertainty, affecting rationally the state space matrix, is introduced. In order to obtain less conservative conditions for the system, we investigated a new method of HPLFs to deal with a time-delay system without uncertainties. In this method, the robustness properties can be investigated by using HPLFs, which is a non-conservatives class of Lyapunov functions. Then we can extended this method to the system with polytopic-type uncertainties is easily. Numerical results illustrate the efficiency of the proposed condition, which provide less conservative estimates of stability domains than similar tests in the literature.

机译：在本文中，我们通过齐次多项式形式处理具有时变时滞和多型不确定性的线性系统的鲁棒稳定性问题。引入了一种与齐次多项式函数有关的变换，用于线性系统在时变参数不确定性的影响下合理地影响状态空间矩阵。为了获得较保守的系统条件，我们研究了一种新的HPLFs方法来处理不确定性的时滞系统。在这种方法中，可以通过使用HPLFs来研究鲁棒性，HPLFs是Lyapunov函数的非保守类。然后我们可以将该方法容易地扩展到具有多主题类型不确定性的系统。数值结果说明了所提出条件的有效性，与文献中的类似试验相比，该方法对稳定性域的保守估计较少。

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来源
《2014 International Conference on Mechatronics and Control》|2014年|407-412|共6页
会议地点 Jinzhou(CN)
作者
Huasheng Zhang; Jianwei Xia; Junsheng Zhao;
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作者单位

Sch. of Math. Sci., Liaocheng Univ., Liaocheng, China;

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原文格式 PDF
正文语种 eng
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关键词
LMI; Time-varying delay system; parameter-dependent Lyapunov function; polytopic-type uncertainties; robust stability;

机译：LMI;时变时滞系统;参数相关的Lyapunov函数;多面型不确定性;鲁棒稳定性;

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New robust stability criteria of systems with time-varying delays

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