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
  • [41] Guaranteed Cost Control of Polynomial Nonlinear Uncertain Systems with Time-Delay
    Hao, Xianwei
    Wang, Yong
    PRACTICAL APPLICATIONS OF INTELLIGENT SYSTEMS, 2011, 124 : 553 - 562
  • [42] Identification and control of nonlinear systems by a time-delay recurrent neural network
    Ge, Hong-Wei
    Du, Wen-Li
    Qian, Feng
    Liang, Yan-Chun
    NEUROCOMPUTING, 2009, 72 (13-15) : 2857 - 2864
  • [43] Robust reliable control for a class of nonlinear time-delay systems with uncertainty
    Song Kai
    Zheng Wen-Liang
    Zang Jing
    PROCEEDINGS OF THE 2007 CHINESE CONTROL AND DECISION CONFERENCE, 2007, : 1 - 5
  • [44] Adaptive Control of Uncertain Nonlinear Time-Delay Systems With External Disturbance
    Zhang, Zhengqiang
    Xu, Bin
    Tan, Cheng
    Ge, Shuzhi Sam
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2022, 52 (02): : 1288 - 1295
  • [45] An almost optimal control design method for nonlinear time-delay systems
    Koshkouei, A. J.
    Farahi, M. H.
    Burnham, K. J.
    INTERNATIONAL JOURNAL OF CONTROL, 2012, 85 (02) : 147 - 158
  • [46] Fixed-time stabilization for a class of nonlinear time-delay systems
    Wang, Xuhuan
    Peng, Youhua
    Xie, Yuande
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (09) : 9876 - 9886
  • [47] Stability of time-delay systems with impulsive control involving stabilizing delays
    Li, Xiaodi
    Li, Peng
    AUTOMATICA, 2021, 124
  • [48] Asymptotic Stability Conditions and Estimates of Solutions for Nonlinear Multiconnected Time-Delay Systems
    Aleksandrov, Alexander
    Aleksandrova, Elena
    Zhabko, Alexey
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2016, 35 (10) : 3531 - 3554
  • [49] Stability for a class of nonlinear time-delay systems via Hamiltonian functional method
    YANG RenMing 1
    2 Shandong Jiaotong University
    ScienceChina(InformationSciences), 2012, 55 (05) : 1218 - 1228
  • [50] Stability for a class of nonlinear time-delay systems via Hamiltonian functional method
    Yang RenMing
    Wang YuZhen
    SCIENCE CHINA-INFORMATION SCIENCES, 2012, 55 (05) : 1218 - 1228
12345