Extended integral inequality for stability analysis of time-delay systems

被引：0
|
作者：
Chantsalnyam T. [1 ]
Ryu J.-H. [2 ]
Chong K.T. [3 ]
机构：
[1] Department of Electronics and Information Engineering, Jeonbuk National University, Jeonju
[2] Electronics and Telecommunications Research Institute, Gwangju
[3] Advanced Electronics and Information Research Center, Jeonbuk National University, Jeonju
来源：
IEIE Transactions on Smart Processing and Computing | 2021年 / 10卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
Integral inequality; Lyapunov-Krasovskii functional (LKF); Stability analysis; Time-delay systems;
D O I：
10.5573/IEIESPC.2021.10.1.037
中图分类号：
学科分类号：
摘要：
In this paper, we propose an extension of the generalized free-weighting-matrix based integral inequality, which is an enriched special case of the conventional inequality. This improved inequality requires less conservative criteria, since the vectors can be chosen independently and freely. By applying the proposed inequality combined with a double integral inequality to evaluate the derivative of Lyapunov-Krasovskii functional, a new stability criterion is formulated for a system with a time delay. To illustrate the effectiveness of the new stability criteria, we take three commonly used numerical examples. Simulation results confirm the effectiveness of the proposed approach. © 2021 The Institute of Electronics and Information Engineers
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页码：37 / 43
页数：6
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