Stability analysis of a type of nonlinear time-delay control systems

被引：0
|
作者：
Li, Zhong-Yan [1 ,2 ]
Guo, Shu-Li [2 ]
机构：
[1] North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
[2] Beijing Inst Technol, Dept Automat Control, Beijing, Peoples R China
来源：
PROCEEDINGS OF 2006 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-7 | 2006年
关键词：
Liapunov functional; stability; bounded time-delay; nonlinear system; feedback input;
D O I：
暂无
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 time delay of Lurie nonlinear systems, in which the origin of the nonlinear systems is the absolute stability, is estimated by using a Liapunov-Razumikhn function. Two sufficient conditions are obtained about absolutely stable criteria of nonlinear systems. A numerical example illustrates the effectiveness of the presented algorithm. We find that the key problem is how to choose tau. The value of tau depends on the set D that relates to Liapunov matrix Q. So the optimization (Q(best)-tau(max)) is our objective. By using computer aided tools and Liapunov matrix equations, we can obtain the optimization r.
引用
收藏
页码：978 / +
页数：2
相关论文
共 50 条
  • [1] Stability analysis of nonlinear time-delay singular systems
    Wang, RL
    Yuan, CA
    Wang, J
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 929 - 934
  • [2] On stability analysis of nonlinear time-delay systems on time scales
    Zhang, Xianfu
    Lu, Xiaodong
    SYSTEMS & CONTROL LETTERS, 2019, 131
  • [3] Stability analysis and H∞ control for time-delay systems
    North China Electric Power Univ, Hebei Province, China
    Proc IEEE Conf Decis Control, (827-828):
  • [4] Stability analysis and H∞ control for time-delay systems
    Tan, W
    Liu, JZ
    PROCEEDINGS OF THE 37TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1998, : 827 - 828
  • [5] Stability Analysis for Nonlinear Time-Delay Systems Applying Homogeneity
    Efimov, D.
    Polyakov, A.
    Perruquetti, W.
    Richard, J. -P
    2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2014, : 37 - 42
  • [6] Stability analysis for a class of switched nonlinear time-delay systems
    Kermani, M.
    Sakly, A.
    SYSTEMS SCIENCE & CONTROL ENGINEERING, 2014, 2 (01): : 80 - 89
  • [7] Further Stability Analysis of Time-Delay Systems with Nonlinear Perturbations
    Sun, Jie
    Zhang, Jing
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2017, 2017
  • [8] Switched nonlinear singular systems with time-delay: Stability analysis
    Zamani, Iman
    Shafiee, Masoud
    Ibeas, Asier
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2015, 25 (10) : 1497 - 1513
  • [9] L∞-stability of nonlinear time-delay systems
    He, HL
    Zhou, BH
    Li, W
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 968 - 973
  • [10] The Stability of Nonlinear Time-Delay Discrete Systems
    XIAO Hui-min(Dept. of Info.Henan University of Finance & Economics
    Journal of Systems Science and Systems Engineering, 1999, (01) : 27 - 39
12345