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
  • [31] Improved stability criteria for linear systems with time-varying delay
    Sun, J.
    Liu, G. P.
    Chen, J.
    Rees, D.
    IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (04): : 683 - 689
  • [32] Improved Stability Criteria on Linear Systems with Distributed Interval Time-Varying Delays and Nonlinear Perturbations
    Piyawatthanachot, Jitsin
    Yotha, Narongsak
    Mukdasai, Kanit
    COMPUTATION, 2021, 9 (02)
  • [33] Improved stability criteria for recurrent neural networks with interval time-varying delays via new Lyapunov functionals
    Lee, Won Il
    Lee, Seok Young
    Park, PooGyeon
    NEUROCOMPUTING, 2015, 155 : 128 - 134
  • [34] 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
  • [35] Improved stability criteria for linear time-varying systems on time scales
    Lu, Xiaodong
    Zhang, Xianfu
    Liu, Zhi
    INTERNATIONAL JOURNAL OF CONTROL, 2020, 93 (07) : 1651 - 1658
  • [36] Absolute stability of Lurie systems with two additive time-varying delays
    Rui Zhang
    Li, Junmin
    Jiao, Jianmin
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2018, 35 (02) : 555 - 567
  • [37] Improved stability and H performance criteria for linear systems with interval time-varying delays via three terms approximation
    El Aiss, H.
    Hmamed, A.
    El Hajjaji, A.
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2017, 48 (16) : 3450 - 3458
  • [38] 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
  • [39] STABILITY OF LINEAR SYSTEMS WITH TIME-VARYING DELAYS
    徐道义
    Science Bulletin, 1988, (08) : 626 - 631
  • [40] Stability analysis of linear systems with two additive time-varying delays via the extended reciprocally convex matrix inequality
    Yan, Chen
    Zhang, Chuan-Ke
    Zhou, Xi-Zi
    2021 PROCEEDINGS OF THE 40TH CHINESE CONTROL CONFERENCE (CCC), 2021, : 183 - 188
12345