New criteria for stability time-varying delay systems based on delay- product-type Lyapunov functionals

被引：0
|
作者：
Lian H.-H. [1 ,2 ,3 ]
Xiao S.-P. [1 ,3 ]
Chen G. [1 ,3 ]
Zhang X.-H. [1 ,3 ]
Deng P. [2 ,3 ]
机构：
[1] School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou
[2] School of Wind Energy Engineering, Hunan Electrical College of Technology, Xiangtan
[3] Key Laboratory for Control and Intelligent Equipment of Hunan Province, Zhuzhou
来源：
Xiao, Shen-Ping (xsph_519@163.com) | 1600年 / Northeast University卷 / 35期
关键词：
Delay upper; Delay-product-type Lyapunov functionals; Integral inequality; Stability; Time-varying delay systems;
D O I：
10.13195/j.kzyjc.2018.0823
中图分类号：
学科分类号：
摘要：
The problem of stability for time-varying delay systems is investigated using a new Lyapunov functional. Two delay-product-type Lyapunov functionals are firstly proposed based on Bessel-Legendre integral inequality and improved free-matrix-based integral inequality. The functional utilizes the information on both the delay d(t) times quadratic function and the delay h-d(t) times quadratic function. Then, by using the Bessel-Legendre integral inequality and the improved reciprocally convex method to estimate the derivative of Lyapunov functional, some less conservative stability criteria are derived for the considered time-varying delay systems. The feasibility and less conservativeness of the obtained criteria are verified by two numerical examples. The results obtained show that the proposed methods can provide a larger admissible delay upper bounds than some existing ones. © 2020, Editorial Office of Control and Decision. All right reserved.
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页码：1017 / 1024
页数：7
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