JRM Vol.30 No.6 pp. 965-970
doi: 10.20965/jrm.2018.p0965


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

May 10, 2018
October 17, 2018
December 20, 2018
Lur’e systems, time-delay systems, Lyapunov functional, delay-dependent stability

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.

Nonlinear function satisfies the sector condition in [0,∞]

Nonlinear function satisfies the sector condition in [0,∞]

Cite this article as:
P. Zhang, P. Wang, and T. Shen, “A Novel Stability Criterion of Lur’e Systems with Time-Varying Delay Based on Relaxed Conditions,” J. Robot. Mechatron., Vol.30 No.6, pp. 965-970, 2018.
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