Stability for time-varying singular system

被引:0
|
作者
Su, X. [1 ]
Zhang, Q. [1 ]
机构
[1] School of Science, Northeastern University, Shenyang 110004, China
关键词
Asymptotic stability - Control system synthesis - Linear control systems - Lyapunov methods - Riccati equations;
D O I
暂无
中图分类号
学科分类号
摘要
The necessary and sufficient condition was obtained for impulse-free and asymptotic stability of time-varying singular system by establishment of Lyapunov equation. Based on this result, stabilization of system was studied via a Riccati equation corresponding to this Lyapunov equation. The work that studied impulse and stability through Lyapunov method is a beginning for linear time-varying singular system. The results obtained are a natural extension of linear time-invariant singular system. Finally some examples were given to illustrate the main results.
引用
收藏
页码:572 / 575
相关论文
共 50 条
  • [41] Exponential stability of hybrid switched nonlinear singular systems with time-varying delay
    Zamani, Iman
    Shafiee, Masoud
    Ibeas, Asier
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (01): : 171 - 193
  • [42] Stability Analysis of Singular LPV Systems with Time-Varying Delays : A Projection Approach
    Li Fanbiao
    Zhang Xian
    Wang Hui
    PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 944 - 949
  • [43] Robust Stability Criteria for Markovian Jump Singular Systems with Time-Varying Delays
    Haidar, A.
    Boukas, E. K.
    47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 2008, : 4657 - 4662
  • [44] A Stability Criterion for Singular Systems with Two Additive Time-varying Delay Components
    Jian-Min Jiao
    International Journal of Automation and Computing, 2013, (01) : 39 - 45
  • [45] Delay dependent robust stability of singular systems with additive time-varying delays
    Chaibi N.
    Tissir E.H.
    Hmamed A.
    Chaibi, N. (ieea_nour@yahoo.fr), 1600, Chinese Academy of Sciences (10): : 85 - 90
  • [46] Asymptotic Stability Criteria for Singular Differential Nonlinear Systems with Time-Varying Delays
    Hai ZHANG Wei JIANG School of Mathematical Sciences Anhui University Anhui P R China School of Mathematics and Compuation Science Anqing Teachers College Anhui P R China
    数学研究与评论, 2010, 30 (04) : 664 - 674
  • [47] Stability of Singular NCSs with Time-Varying Delay and Multiple-Packet Transmission
    Dang, Xiangdong
    Zhang, Qingling
    2009 IEEE INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION, VOLS 1-3, 2009, : 1405 - 1410
  • [48] Exponential stability for positive singular systems without/with time-varying distributed delays
    Cao, Zijing
    Li, Shuo
    Xiang, Zhengrong
    PROCEEDINGS OF THE 32ND 2020 CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2020), 2020, : 4549 - 4554
  • [49] Improved Results on Stability Criteria for Singular Systems with Interval Time-Varying Delays
    Noreddine, Chaibi
    Sadek, Belamfedel Alaoui
    El Houssaine, Tissir
    Boukili, Bensalem
    JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS, 2021, 30 (01)
  • [50] Exponential Stability and Stabilization of Markovian Jumping Singular Systems with Time-varying Delays
    Zhou Bo
    Wang Hui-jiao
    Wang Jun-ru
    Gu Min-ming
    2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 1596 - 1601