JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2012, Vol. 42 ›› Issue (2): 36-44.

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Finite-time stability for a class of nonlinear time-delay systems

YANG Ren-ming, WANG Yu-zhen*   

  1. School of Control Science and Engineering, Shandong University, Jinan 250061, China
  • Received:2011-10-21 Online:2012-04-20 Published:2011-10-21

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Abstract:

研究了一类非线性时滞系统的有限时间稳定性,给出了一些新的时滞无关和时滞相关的有限时间稳定性结果。 应用Razumikhin方法 (R方法), 给出了一般非线性时滞系统的一个有限时间稳定性判据。为了研究这类系统的有限时间稳定性, 根据正交分解法和坐标变换方法,得到了这类系统的一个等价形式。 基于上述得到的稳定性判据和等价形式,给出了这类系统的几个时滞无关和时滞相关的稳定性结果。 通过仿真模拟验证了该方法的有效性。

Key words: 非线性时滞系统, 有限时间稳定性;等价形式;Razumikhin方法

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