A Novel Stability Criterion of Lur'e Systems with Time-Varying Delay Based on Relaxed Conditions
A Novel Stability Criterion of Lur'e Systems with Time-Varying Delay Based on Relaxed Conditions
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DOI：
10.20965/jrm.2018.p0965
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发表时间：
2018-12
期刊：
影响因子：
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通讯作者：
P. Zhang;Pitao Wang;Tao Shen
中科院分区：
文献类型：
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作者：
P. Zhang;Pitao Wang;Tao Shen
研究具有时变时滞和扇形有界非线性的Lur系统的绝对稳定性问题。本文提出了一种新的基于延迟分解的松弛条件。利用该方法，利用一些不等式，以线性矩阵不等式的形式导出了Lur 'e系统的新的时滞相关稳定性判据。数值算例表明，所提方法的保守性较低。
This paper considers the absolute stability for Lur’e systems with time-varying delay and sector-bounded nonlinear. In this paper, a new relaxed condition based on delay decomposition approach is proposed. By using this technique and employing some inequality, the new delay-dependent stability criteria for Lur’e systems are derived in the form of linear matrix inequalities (LMIs). A numerical example is presented to show less conservatism of proposed methods compared with the previous.