DDI-based finite-time stability analysis for nonlinear switched systems with time-varying delays

被引：7
作者：
Xue, Wenping [1 ]
Li, Kangji [1 ]
Liu, Guohai [1 ]
机构：
[1] Jiangsu Univ, Sch Elect & Informat Engn, Zhenjiang, Peoples R China
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2016年 / 47卷 / 12期
基金：
中国国家自然科学基金;
关键词：
switched systems; finite-time stability; delay differential inequality; time-delay; nonlinear perturbation; L-2-GAIN ANALYSIS; NEURAL-NETWORKS; LINEAR-SYSTEMS; STABILIZATION; ROBUST;
D O I：
10.1080/00207721.2015.1066899
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 finite-time stability (FTS) analysis problem for switched systems with both nonlinear perturbation and time-varying delays. For the system to be finite-time stable, a sufficient condition is proposed based on some delay differential inequalities (DDIs), rather than the Lyapunov-like functions which are commonly used in the FTS analysis of switched systems. Compared with the Lyapunov-like function method, the FTS conditions based on the DDI method are easier for checking and do not require FTS of each subsystem. Two examples are given to illustrate the effectiveness of the developed theory.
引用
收藏
页码：3027 / 3035
页数：9
相关论文
共 38 条
  • [1] Finite-time control of linear systems subject to parametric uncertainties and disturbances
    Amato, F
    Ariola, M
    Dorato, P
    [J]. AUTOMATICA, 2001, 37 (09) : 1459 - 1463
  • [2] Amato F, 2014, Finite-time stability and control lecture notes in control and information sciences
  • [3] Sufficient Conditions for Finite-Time Stability and Stabilization of Nonlinear Quadratic Systems
    Amato, Francesco
    Cosentino, Carlo
    Merola, Alessio
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (02) : 430 - 434
  • [4] [Anonymous], 2005, COMM CONT E
  • [5] Finite-time stability of switched positive linear systems
    Chen, Guopei
    Yang, Ying
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2014, 24 (01) : 179 - 190
  • [6] Dorato P., 1961, Short-time stability in linear time-varying systems
  • [7] H∞ filtering of discrete-time switched systems with state delays via switched Lyapunov function approach
    Du, Dongsheng
    Jiang, Bin
    Shi, Peng
    Zhou, Shaosheng
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (08) : 1520 - 1525
  • [8] Robust and resilient finite-time bounded control of discrete-time uncertain nonlinear systems
    ElBsat, Mohammad N.
    Yaz, Edwin E.
    [J]. AUTOMATICA, 2013, 49 (07) : 2292 - 2296
  • [9] Finite-Time Stabilization of Linear Time-Varying Continuous Systems
    Garcia, Germain
    Tarbouriech, Sophie
    Bernussou, Jacques
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (02) : 364 - 369
  • [10] Halanay A., 1966, Differential equations: Stability, Oscillations and Time Lags, V6
1234