Paper:
A Novel Stability Criterion of Lur’e Systems with Time-Varying Delay Based on Relaxed Conditions
Peng Zhang, Pitao Wang, and Tao Shen
School of Electrical Engineering, University of Jinan
No.336, West Road of Nan Xinzhuang, Jinan, Shandong 250022, China
![Nonlinear function satisfies the sector condition in [0,∞]](https://www.fujipress.jp/main/wp-content/themes/Fujipress/JRM/abst-image/00300006/14.jpg)
Nonlinear function satisfies the sector condition in [0,∞]
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.
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