Improved stability criteria for linear systems with two additive time-varying delays via a novel Lyapunov functional

被引：26
|
作者：
Shen, Cuifeng [1 ]
Li, Yan [2 ]
Zhu, Xuelai [1 ]
Duan, Wenyong [1 ]
机构：
[1] Yancheng Inst Technol, Sch Elect Engn, Yancheng, Jiangsu, Peoples R China
[2] Yancheng Biol Engn Higher Vocat Technol Sch, Undergrad Off, Yancheng, Jiangsu, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2020年 / 363卷
关键词：
Linear system; Lyapunov functional; Stability; Time-varying delay; Delay-dependent matrix; LOAD FREQUENCY CONTROL; DEPENDENT STABILITY; NEURAL-NETWORKS; ROBUST STABILITY; COMPONENTS; STABILIZATION; MATRIX;
D O I：
10.1016/j.cam.2019.06.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper consider the stability problem of linear systems with two additive time-varying delays. A novel Lyapunov-Krasovskii functional (LKF) is constructed, which consists of the delay-dependent non-integral items and the single-integral items. Based on the newly developed LKF, a stability criterion is derived, which is less conservative than some recent existing ones. Furthermore, to obtain a tighter bound of the integral term, quadratic generalized free-weighting matrix inequality (QGFMI) is used. Finally, a numerical example and an application of the load frequency control for a single area power system are presented to show the effectiveness of the proposed approach. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：312 / 324
页数：13
相关论文
共 50 条
  • [1] Stability analysis of linear systems with two additive time-varying delays via delay-product-type Lyapunov functional
    Xu, Hao-Tian
    Zhang, Chuan-Ke
    Jiang, Lin
    Smith, Jeremy
    APPLIED MATHEMATICAL MODELLING, 2017, 45 : 955 - 964
  • [2] Stability analysis of systems with two additive time-varying delay components via an improved delay interconnection Lyapunov-Krasovskii functional
    Liu, Meng
    He, Yong
    Wu, Min
    Shen, Jianhua
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (06): : 3457 - 3473
  • [3] New Results of Stability Analysis for Systems with Two Additive Time-Varying Delays
    Zhu Xunlin
    Du Xin
    PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 1452 - 1457
  • [4] Enhancement on Stability Criteria for Linear Systems with Interval Time-varying Delays
    Kwon, Oh Min
    Park, Myeong Jin
    Park, Ju H.
    Lee, Sang Moon
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2016, 14 (01) : 12 - 20
  • [5] Analysis on Stability for Linear Systems with Two Additive Time-Varying Delays
    Lee, Won Il
    Park, PooGyeon
    2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2015, : 3995 - 3998
  • [6] A new augmented Lyapunov-Krasovskii functional approach for stability of linear systems with time-varying delays
    Park, M. J.
    Kwon, O. M.
    Park, Ju H.
    Lee, S. M.
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (17) : 7197 - 7209
  • [7] Improvements on stability criteria for linear systems with a time-varying delay via novel delay-dependent Lyapunov functionals
    Lee, S. H.
    Park, M. J.
    Kwon, O. M.
    ISA TRANSACTIONS, 2024, 152 : 269 - 276
  • [8] Improved results on stability and stabilization criteria for uncertain linear systems with time-varying delays
    Kwon, O. M.
    Park, M. J.
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2017, 94 (12) : 2435 - 2457
  • [9] Stability criteria for continuous-time systems with additive time-varying delays
    Zhu, Xun-Lin
    Wang, Youyi
    Du, Xin
    OPTIMAL CONTROL APPLICATIONS & METHODS, 2014, 35 (02) : 166 - 178
  • [10] Enhancing Stability Criteria for Linear Systems with Interval Time-Varying Delays via an Augmented Lyapunov-Krasovskii Functional
    Lee, Dong-Hoon
    Kim, Yeong-Jae
    Lee, Seung-Hoon
    Kwon, Oh-Min
    MATHEMATICS, 2024, 12 (14)
12345