Stability Analysis for Time-Delay Systems via a New Negativity Condition on Quadratic Functions

Shenping Xiao (), Jin Yu, Simon X. Yang and Yongfeng Qiu
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Shenping Xiao: School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, China
Jin Yu: School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, China
Simon X. Yang: Advanced Robotics and Intelligent Systems Laboratory, School of Engineering, University of Guelph, Guelph, ON N1G 2W1, Canada
Yongfeng Qiu: Guiyang Aluminum Magnesium Design and Research Institute Co., Ltd., Guiyang 550081, China

Mathematics, 2022, vol. 10, issue 17, 1-9

Abstract: This article studies the stability problem of linear systems with time-varying delays. First, a new negative condition is established for a class of quadratic functions whose variable is within a closed set. Then, based on this new condition, a couple of stability criteria for the system under study are derived by constructing an appropriate Lyapunov–Krasovskii functional. Finally, it is demonstrated through two numerical examples that the proposed stability criteria are efficient and outperform some existing methods.

Keywords: stability; time-delay systems; linear matrix inequality (LMI); Lyapunov–Krasovskii functional (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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