New delay-partitioning approaches to stability criteria for uncertain neutral systems with time-varying delays

被引：65
|
作者：
Kwon, O. M. [2 ]
Park, M. J. [2 ]
Park, Ju H. [1 ]
Lee, S. M. [3 ]
Cha, E. J. [4 ]
机构：
[1] Yeungnam Univ, Dept Elect Engn, Nonlinear Dynam Grp, Kyongsan 712749, South Korea
[2] Chungbuk Natl Univ, Sch Elect Engn, Cheongju 361763, South Korea
[3] Daegu Univ, Sch Elect Engn, Gyongsan 712714, South Korea
[4] Chungbuk Natl Univ, Sch Med, Dept Biomed Engn, Cheongju 361763, South Korea
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2012年 / 349卷 / 09期
基金：
新加坡国家研究基金会;
关键词：
MARKOVIAN JUMPING PARAMETERS; LYAPUNOV FUNCTIONAL-APPROACH; BAM NEURAL-NETWORKS; DEPENDENT STABILITY; ROBUST STABILITY; DIFFERENTIAL SYSTEMS; ASYMPTOTIC STABILITY; STABILIZATION; INEQUALITY;
D O I：
10.1016/j.jfranklin.2012.08.013
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the problem of stability analysis for uncertain neutral systems with time-varying delays is considered. The parameter uncertainties are assumed to be norm-bounded. By use of new augmented Lyapunov functional and delay-partitioning techniques, delay-dependent stability criteria to guarantee the asymptotic stability are established in terms of linear matrix inequalities (LMIs), which can be solved easily by various efficient convex optimization algorithms. Four numerical examples are given to show the superiority of the proposed methods. (c) 2012 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：2799 / 2823
页数：25
相关论文
共 50 条
  • [41] Improved delay-dependent stability criteria for neural networks with discrete and distributed time-varying delays using a delay-partitioning approach
    Shi, Kaibo
    Zhu, Hong
    Zhong, Shouming
    Zeng, Yong
    Zhang, Yuping
    NONLINEAR DYNAMICS, 2015, 79 (01) : 575 - 592
  • [42] Improved delay-dependent stability criteria for neural networks with discrete and distributed time-varying delays using a delay-partitioning approach
    Kaibo Shi
    Hong Zhu
    Shouming Zhong
    Yong Zeng
    Yuping Zhang
    Nonlinear Dynamics, 2015, 79 : 575 - 592
  • [43] New delay-dependent stability criteria of uncertain linear systems with multiple time-varying state delays
    Yan, Huaicheng
    Huang, Xinhan
    Wang, Min
    Zhang, Hao
    CHAOS SOLITONS & FRACTALS, 2008, 37 (01) : 157 - 165
  • [44] Robust stability for uncertain neutral systems with mixed time-varying delays
    Cui J.
    Cao J.
    Zhong S.
    Hu Y.
    Journal of Control Theory and Applications, 2009, 7 (2): : 192 - 196
  • [45] Stability analysis for uncertain neutral systems with mixed time-varying delays
    Hui, Jun-Jun
    Zhang, He-Xin
    Kong, Xiang-Yu
    Li, Guo-Liang
    Kongzhi yu Juece/Control and Decision, 2014, 29 (12): : 2259 - 2264
  • [46] Robust stability of uncertain neutral systems with time-varying and distributed delays
    Qiu, Jiqing
    Zhang, Jinhui
    Shi, Yan
    Zhang, Dongwen
    Shi, Peng
    2006 CHINESE CONTROL CONFERENCE, VOLS 1-5, 2006, : 1952 - +
  • [47] Robust stability of uncertain neutral systems with time-varying and distributed delays
    Wang, Ruliang
    Gao, Dongmei
    PROCEEDINGS OF THE 2012 EIGHTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND SECURITY (CIS 2012), 2012, : 267 - 270
  • [48] Stability criteria for uncertain stochastic dynamic systems with time-varying delays
    Kwon, O. M.
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2011, 21 (03) : 338 - 350
  • [49] New absolute stability criteria for uncertain Lur'e systems with time-varying delays
    Liu, Bo
    Jia, Xin-Chun
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (09): : 4015 - 4031
  • [50] Robust stability criteria of uncertain fuzzy systems with time-varying delays
    Zuo, ZQ
    Wang, YJ
    INTERNATIONAL CONFERENCE ON SYSTEMS, MAN AND CYBERNETICS, VOL 1-4, PROCEEDINGS, 2005, : 1303 - 1307
12345