Incremental stability of switched non-linear systems

被引：9
|
作者：
Yang, Hao [1 ]
Jiang, Bin [1 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Coll Automat Engn, Nanjing 211106, Jiangsu, Peoples R China
来源：
IET CONTROL THEORY AND APPLICATIONS | 2016年 / 10卷 / 02期
基金：
中国国家自然科学基金;
关键词：
switching systems (control); nonlinear control systems; asymptotic stability; synchronisation; switched nonlinear system; incremental asymptotic stability problem; steady-state inclusion; incremental stability region; sufficient incremental stability condition; global incremental stability; synchronisation problem; coupled identical system; switching coupling; CONTRACTION ANALYSIS; TIME-DELAY; STABILIZATION;
D O I：
10.1049/iet-cta.2015.0209
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 study considers incremental stability problem of switched non-linear systems with each mode being local incrementally asymptotically stable. A new concept named steady-state inclusion' is proposed to describe the relations among incremental stability regions of modes. Based on such a concept, sufficient incremental stability conditions of the switched systems are established, which cover the global incremental stability as a special case. The new result is applied to synchronisation problem of coupled identical systems with switching coupling.
引用
收藏
页码：220 / 225
页数：6
相关论文
共 50 条
  • [1] Incremental stability for switched non-linear systems based on geometrically incremental dissipativity
    Ren, Yuanhong
    Wang, Weiqun
    Wang, Yixiang
    IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (06) : 837 - 846
  • [2] Stability of highly non-linear switched stochastic systems
    Zhao, Ying
    Wu, Xiaotai
    Cao, Jinde
    IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (12) : 1940 - 1944
  • [3] Exponential stability of positive switched non-linear systems under minimum dwell time
    Ma, Ruicheng
    An, Shuang
    Zhao, Shengzhi
    IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (17) : 2309 - 2315
  • [4] Linearization of switched non-linear systems
    Yuan, Yanyan
    Qiao, Yupeng
    Cheng, Daizhan
    TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2010, 32 (06) : 677 - 705
  • [5] Exponential stability of switched stochastic delay systems with non-linear uncertainties
    Liu, Jun
    Liu, Xinzhi
    Xie, Wei-Chau
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2009, 40 (06) : 637 - 648
  • [6] Stability and L2-gain performance for non-linear switched impulsive systems
    Liu, Yang
    Lu, Jianquan
    Wu, Bo
    IET CONTROL THEORY AND APPLICATIONS, 2015, 9 (02) : 300 - 307
  • [7] Input-to-state stability for discrete-time non-linear switched singular systems
    Lian, Jie
    Li, Can
    Liu, Dan
    IET CONTROL THEORY AND APPLICATIONS, 2017, 11 (16) : 2893 - 2899
  • [8] Input-to-state stability for non-linear switched stochastic delayed systems with asynchronous switching
    Zhang, Meng
    Zhu, Quanxin
    IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (03) : 351 - 359
  • [9] Iterative learning control for a class of non-linear switched systems
    Bu, Xuhui
    Hou, Zhongsheng
    Yu, Fashan
    Fu, Ziyi
    IET CONTROL THEORY AND APPLICATIONS, 2013, 7 (03) : 470 - 481
  • [10] Moment exponential input-to-state stability of non-linear switched stochastic systems with Levy noise
    Li, Mengling
    Deng, Feiqi
    IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (09) : 1208 - 1215
12345