Stability Analysis for a Class of Nonlinear Time-Delay Systems via Hamiltonian Functional Method

被引：2
|
作者：
Yang, Renming [1 ]
Wang, Yuzhen [1 ]
机构：
[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China
来源：
2010 8TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA) | 2010年
关键词：
Nonlinear time-delay system; time-delay Hamiltonian system; Hamiltonian functional; Stability; MULTIMACHINE POWER-SYSTEMS; DESIGN;
D O I：
10.1109/WCICA.2010.5554880
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 investigates the stability of a class of nonlinear time-delay systems, and proposes a number of new results. Firstly, an equivalent time-delay Hamiltonian system is obtained for this class of systems by means of the generalized Hamiltonian realization (GHR). Then, based on the equivalent form, several sufficient conditions in term of matrix inequalities are derived for the stability analysis of the nonlinear time-delay systems by constructing suitable Lyapunov-Krasovskii (L-K) functionals. Study of several illustrative examples shows that the results obtained in this paper have less conservatism, and work very well in the stability analysis of some nonlinear time-delay systems.
引用
收藏
页码：2874 / 2879
页数：6
相关论文
共 50 条
  • [1] Stability for a class of nonlinear time-delay systems via Hamiltonian functional method
    YANG RenMing 1
    2 Shandong Jiaotong University
    [J]. Science China(Information Sciences), 2012, 55 (05) : 1218 - 1228
  • [2] Stability for a class of nonlinear time-delay systems via Hamiltonian functional method
    Yang RenMing
    Wang YuZhen
    [J]. SCIENCE CHINA-INFORMATION SCIENCES, 2012, 55 (05) : 1218 - 1228
  • [3] Stability for a class of nonlinear time-delay systems via Hamiltonian functional method
    RenMing Yang
    YuZhen Wang
    [J]. Science China Information Sciences, 2012, 55 : 1218 - 1228
  • [4] Finite-time stability analysis and H∞ control for a class of nonlinear time-delay Hamiltonian systems
    Yang, Renming
    Wang, Yuzhen
    [J]. AUTOMATICA, 2013, 49 (02) : 390 - 401
  • [5] Finite-time stability and stabilization of nonlinear singular time-delay systems via Hamiltonian method
    Yang, Renming
    Sun, Liying
    Zhang, Guangyuan
    Zhang, Qiang
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (12): : 5961 - 5992
  • [6] Stability analysis for time-delay hamiltonian systems
    Sun, Weiwei
    Wana, Yuzhen
    Feng, Gang
    [J]. 2006 9TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION, VOLS 1- 5, 2006, : 1729 - +
  • [7] Stability analysis for a class of switched nonlinear time-delay systems
    Kermani, M.
    Sakly, A.
    [J]. SYSTEMS SCIENCE & CONTROL ENGINEERING, 2014, 2 (01): : 80 - 89
  • [8] H∞ Filter Design for a class of Nonlinear Time-delay Hamiltonian Systems
    Hong Xiaofang
    Wang Yuzhen
    Jiang Ping
    [J]. 2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 2497 - 2501
  • [9] Finite-time robust control of a class of nonlinear time-delay systems via Lyapunov functional method
    Yang, Renming
    Sun, Liying
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (03): : 1155 - 1176
  • [10] Stability Analisys for a Class of Sampled Nonlinear Systems with Time-Delay
    Castillo-Toledo, B.
    Di Gennaro, S.
    Sandoval Castro, G.
    [J]. 49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, : 1575 - 1580
12345