Robust finite-time stability of singular nonlinear systems with interval time-varying delay

被引：73
|
作者：
Yang, Xueyan [1 ]
Li, Xiaodi [1 ,2 ,3 ]
Cao, Jinde [1 ,4 ,5 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
[2] Shandong Normal Univ, Shandong Prov Key Lab Med Phys & Image Proc Techn, Jinan 250014, Shandong, Peoples R China
[3] Shandong Normal Univ, Inst Data Sci & Technol, Jinan 250014, Shandong, Peoples R China
[4] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China
[5] Southeast Univ, Res Ctr Complex Syst & Network Sci, Nanjing 210096, Jiangsu, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2018年 / 355卷 / 03期
基金：
中国国家自然科学基金;
关键词：
NEURAL-NETWORKS; LINEAR-SYSTEMS; EXPONENTIAL STABILITY; JUMP SYSTEMS; DISCRETE; BOUNDEDNESS; CRITERIA; STABILIZATION; DESIGN;
D O I：
10.1016/j.jfranklin.2017.12.018
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The problem of robust finite-time stability (RFTS) for singular nonlinear systems with interval time-varying delay is studied in this paper. Some delay-dependent sufficient conditions of RFTS are derived in the form of the linear matrix inequalities (LMIs) by using Lyapunov-Krasovskii functional (LKF) method and singular analysis technique. Two examples are provided to show the applications of the proposed criteria. (c) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：1241 / 1258
页数：18
相关论文
共 50 条
  • [21] Robust finite-time stability and stabilization of uncertain Markovian jump systems with time-varying delay
    Wang, Guoliang
    Li, Zhiqiang
    Zhang, Qingling
    Yang, Chunyu
    APPLIED MATHEMATICS AND COMPUTATION, 2017, 293 : 377 - 393
  • [22] Finite-time stability for discrete-time system with time-varying delay and nonlinear perturbations
    Kang, Wei
    Zhong, Shouming
    Shi, Kaibo
    Cheng, Jun
    ISA TRANSACTIONS, 2016, 60 : 67 - 73
  • [23] Delay Dependent Robust Stability of Singular Systems with Time-Varying Delay
    Chaibi, Noreddine
    Tissir, El Houssaine
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2012, 10 (03) : 632 - 638
  • [24] Finite-time stability of nonlinear time-varying systems with saturated impulse inputs
    Gan, Runting
    Li, Chuandong
    NONLINEAR DYNAMICS, 2023, 111 (04) : 3497 - 3507
  • [25] A Delay Decomposition Approach to the Stability Analysis of Singular Systems with Interval Time-Varying Delay
    Jiao, Jianmin
    Zhang, Rui
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [26] ROBUST STABILITY ANALYSIS FOR SYSTEMS WITH TIME-VARYING DELAYS: A DELAY FUNCTION APPROACH
    Ma, Ming-Yu
    Dong, Chao-Yang
    Wang, Qing
    Ni, Maolin
    ASIAN JOURNAL OF CONTROL, 2016, 18 (05) : 1923 - 1933
  • [27] New result on exponential stability for singular systems with two interval time-varying delays
    Chen, Huabin
    Hu, Peng
    IET CONTROL THEORY AND APPLICATIONS, 2013, 7 (15) : 1941 - 1949
  • [28] Finite-time state bounding for homogeneous nonlinear positive systems with time-varying delay and bounded disturbance
    Zhu, Xingao
    Liu, Shutang
    Sun, Yuangong
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2022, 359 (06): : 2681 - 2692
  • [29] New results on finite-time stability of singular Markovian jump systems with time-varying delay
    Long, Shaohua
    Huang, Mei
    Zhong, Shouming
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2025, 55
  • [30] Finite-Time Control for Nonlinear Systems with Time-Varying Delay and Exogenous Disturbance
    Ruan, Yanli
    Huang, Tianmin
    SYMMETRY-BASEL, 2020, 12 (03):
12345