Delay-Dependent Stability of Discrete-Time Complex Networks with Mode-Dependent Uncertain Parameters and Time Delays

被引:1
|
作者
Guo, Li-Lin [1 ]
Wang, Yan-Wu [1 ]
Wang, Hua O.
Huang, Yue-Hua [1 ,2 ]
机构
[1] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China
[2] Boston Univ, Dept Mech Engn, Boston, MA 02215 USA
来源
2009 IEEE CONTROL APPLICATIONS CCA & INTELLIGENT CONTROL (ISIC), VOLS 1-3 | 2009年
基金
中国国家自然科学基金;
关键词
H-INFINITY CONTROL; MARKOVIAN JUMP SYSTEMS; DISTRIBUTED DELAYS; STATE ESTIMATION; NEURAL-NETWORKS; SYNCHRONIZATION;
D O I
10.1109/CCA.2009.5281142
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 definition of stochastically stability is proposed for discrete-time complex networks, and the stochastically stability of a discrete-time complex network with uncertain parameters and time delays is investigated. Both the uncertain parameters and the time delays are subjected to Markov jump process. Based on the descriptor model transformation, some delay-dependent sufficient conditions are obtained by using linear matrix inequalities (LMIs). A numerical example is presented to show the effectiveness of the theoretical result.
引用
收藏
页码:177 / +
页数:2
相关论文
共 50 条
  • [1] Delay-Dependent Stability of Complex Dynamical Networks with Mode-Dependent Parameters and Time Delays
    Guo Li-Lin
    Zhao Nian-Yuan
    Huang Yue-Hua
    Xiao Jiang-Wen
    Wang Yan-Wu
    PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 4671 - 4676
  • [2] Delay-dependent stability and H∞ control of uncertain discrete-time Markovian jump systems with mode-dependent time delays
    Chen, WH
    Guan, ZH
    Yu, P
    SYSTEMS & CONTROL LETTERS, 2004, 52 (05) : 361 - 376
  • [3] Delay-dependent robust stability and H∞ control for uncertain discrete-time switched systems with mode-dependent time delays
    Sun, Yuan Gong
    Wang, Long
    Xie, Guangming
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 187 (02) : 1228 - 1237
  • [4] Delay-dependent robust stabilization for uncertain discrete-time fuzzy Markovian jump systems with mode-dependent time delays
    Zhang, Yashun
    Xu, Shengyuan
    Zou, Yun
    Lu, Jinjun
    FUZZY SETS AND SYSTEMS, 2011, 164 (01) : 66 - 81
  • [5] Stability and Synchronization of Discrete-Time Markovian Jumping Neural Networks With Mixed Mode-Dependent Time Delays
    Liu, Yurong
    Wang, Zidong
    Liang, Jinling
    Liu, Xiaohui
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2009, 20 (07): : 1102 - 1116
  • [6] Robust stability of Markovian jump discrete-time neural networks with partly unknown transition probabilities and mixed mode-dependent delays
    Sheng, Li
    Gao, Ming
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2013, 44 (02) : 252 - 264
  • [7] Synchronization for complex dynamical networks with mixed mode-dependent time delays
    Ma, Yuechao
    Ma, Nannan
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [8] Delay-dependent stability for uncertain cellular neural networks with discrete and distribute time-varying delays
    Kwon, O. M.
    Park, J. H.
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2008, 345 (07): : 766 - 778
  • [9] Delay-Dependent Robust Control for Discrete-Time Uncertain Stochastic Systems With Time-Varying Delays
    Ku, Cheung-Chieh
    Chen, Guan-Wei
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2017, 139 (10):
  • [10] Delay-dependent robust H∞ control for uncertain discrete-time singular systems with time-delays
    Ma, Shuping
    Zhang, Chenghui
    Cheng, Zhaolin
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 217 (01) : 194 - 211