New Lyapunov-Krasovskii Functional for Stability Analysis of Linear Systems with Time-Varying Delay  

作　　者：LIN Huichao ZENG Hongbing WANG Wei 

机构地区：[1]Institute of Electrical and Information Engineering,Hunan University of Technology,Zhuzhou 412008,China

出　　处：《Journal of Systems Science & Complexity》2021年第2期632-641,共10页系统科学与复杂性学报（英文版）

基　　金：the National Natural Science Fund of China under Grant Nos.61741308,61703153,61672225;the Natural Science Fund of Hunan Province under Grant Nos.2018JJ2096 and 2018JJ4075。

摘　　要：This paper focuses on the problem of delay-dependent stability of linear systems with time-varying delay.A new delay-product-type augmented Lyapunov-Krasovskii functional(LKF)is constructed.Based on the LKF and by employing a generalized free-matrix-based integral inequality,less conservative delay-dependent stability criteria are obtained.Finally,two well-known numerical examples are used to confirm the effectiveness and the superiority of the presented stability criteria.

关 键 词：Augmented Lyapunov-Krasovskii functional linear matrix inequality(LMI) stability analysis time-delay system 

分 类 号：N941[自然科学总论—系统科学]