Exponential stability analysis for a class of neutral singular Markovian jump systems with time-varying delays

被引：22
|
作者：
Long, Shaohua [1 ]
Zhong, Shouming [2 ]
Guan, Hongbo [3 ]
Zhang, Dian [4 ]
机构：
[1] Chongqing Univ Technol, Sch Sci, Chongqing 400054, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
[3] Hunan Inst Technol, Sch Math Phys & Energy Engn, Hengyang 421002, Peoples R China
[4] Qingdao Univ Sci & Technol, Coll Automat & Elect Engn, Qingdao 266061, Shandong, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2019年 / 356卷 / 12期
关键词：
CHAOTIC NEURAL-NETWORKS; H-INFINITY CONTROL; LINEAR-SYSTEMS; STABILIZATION; SYNCHRONIZATION; PROBABILITY; DESIGN;
D O I：
10.1016/j.jfranklin.2019.04.036
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper deals with the exponential stability problem for a class of neutral singular systems with Markovian jump parameters. The considered systems involve time-varying delays not only in their state but also in their derivatives of state. By using the Lyapunov-Krasovskii functional method, some sufficient conditions are derived, which ensure that the considered systems are regular, impulse-free and exponentially stable. Finally, some numerical examples are employed to demonstrate the effectiveness of the obtained approaches. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：6015 / 6040
页数：26
相关论文
共 50 条
  • [21] Exponential stability results for uncertain neutral systems with interval time-varying delays and Markovian jumping parameters
    Balasubramaniam, P.
    Manivannan, A.
    Rakkiyappan, R.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (11) : 3396 - 3407
  • [22] H∞ filtering for a class of singular Markovian jump systems with time-varying delay
    Long, Shaohua
    Zhong, Shouming
    Liu, Zijian
    [J]. SIGNAL PROCESSING, 2012, 92 (11) : 2759 - 2768
  • [23] Stochastic admissibility and stabilization of singular Markovian jump systems with multiple time-varying delays
    Baoping Jiang
    Cunchen Gao
    Yonggui Kao
    [J]. International Journal of Control, Automation and Systems, 2016, 14 : 1280 - 1288
  • [24] Dissipative Filtering for Singular Semi-Markovian Jump Systems with Time-Varying Delays
    Wang, Yao
    Park, J. H.
    Guo, Jun
    [J]. PROCEEDINGS OF THE 32ND 2020 CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2020), 2020, : 1062 - 1067
  • [25] Stochastic Admissibility and Stabilization of Singular Markovian Jump Systems with Multiple Time-varying Delays
    Jiang, Baoping
    Gao, Cunchen
    Kao, Yonggui
    [J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2016, 14 (05) : 1280 - 1288
  • [26] Exponential Stability of Switched Neutral Systems with Mixed Time-varying Delays
    Li, Tai-fang
    Dimirovski, Georgi M.
    Zhao, Jun
    [J]. 2010 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN AND CYBERNETICS (SMC 2010), 2010,
  • [27] On Estimating the Reachable Set of Neutral Markovian Jump Systems with Interval Time-Varying Delays
    Jiang, Xiangli
    Xia, Guihua
    Feng, Zhiguang
    [J]. 2020 CHINESE AUTOMATION CONGRESS (CAC 2020), 2020, : 17 - 21
  • [28] Less conservative delay-dependent exponential stability for stochastic Markovian jump systems with time-varying delays
    Zhao, Xu-Dong
    Wang, Li
    Ling, Ming-Xiang
    Zeng, Qing-Shuang
    [J]. Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology, 2010, 42 (03): : 378 - 383
  • [29] On Exponential Stability for a Class of Uncertain Neutral Markovian Jump Systems with Mode-Dependent Delays
    Liu, Xinghua
    Xi, Hongsheng
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [30] Stability analysis for a class of neutral type singular systems with time-varying delay
    Long, Shaohua
    Wu, Yunlong
    Zhong, Shouming
    Zhang, Dian
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2018, 339 : 113 - 131
12345