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
  • [21] Absolute exponential stability criteria for a class of nonlinear time-delay systems
    Zhang, Baoyong
    Lam, James
    Xu, Shengyuan
    Shu, Zhan
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (03) : 1963 - 1976
  • [22] Stochastic stability of a class of nonlinear systems with randomly varying time-delay
    Kolmanovsky, I
    Maizenberg, TL
    PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2000, : 4304 - 4308
  • [23] Asymptotic Stability Criterion for a Class of Nonlinear Singular Systems with Time-delay
    Gao Cun-Chen
    Yuan Feng
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 1205 - 1208
  • [24] Asymptotical stability of a class of homogeneous nonlinear switching systems with time-delay
    Mu, XW
    Yu, JY
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 952 - 959
  • [25] Stability analysis for a class of switched large-scale time-delay systems via time-switched method
    Chiou, J. -S.
    IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2006, 153 (06): : 684 - 688
  • [26] The Stability Analysis for a Class of Time-Delay Networked Control Systems
    Xiao, Shenping
    Guo, Lixin
    Wang, Liyan
    26TH CHINESE CONTROL AND DECISION CONFERENCE (2014 CCDC), 2014, : 4977 - 4980
  • [27] OBSERVERS FOR A CLASS OF NONLINEAR SYSTEMS WITH TIME-DELAY
    Zhou, Lei
    Xiao, Xiaoqing
    Lu, Guoping
    ASIAN JOURNAL OF CONTROL, 2009, 11 (06) : 688 - 693
  • [28] 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
  • [29] Further Stability Analysis of Time-Delay Systems with Nonlinear Perturbations
    Sun, Jie
    Zhang, Jing
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2017, 2017
  • [30] 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
12345