On stability of difference schemes for a class of nonlinear switched systems

被引：1
作者：
Aleksandrov A. [1 ]
Platonov A. [1 ]
Chen Y. [2 ]
机构：
[1] Saint Petersburg State University, Saint Petersburg
[2] Beijing University of Technology, Beijing
来源：
Aleksandrov, Alexander (a.u.aleksandrov@spbu.ru) | 1600年 / Springer Verlag卷 / 9570期
基金：
中国国家自然科学基金; 俄罗斯基础研究基金会;
关键词：
Computational schemes; Dwell-time; Lyapunov functions; Stability; Switched difference systems;
D O I：
10.1007/978-3-662-50412-3_4
中图分类号：
学科分类号：
摘要：
The problem of preservation of stability under discretization is studied. A class of nonlinear switched difference systems is considered. Systems of the class appear as computational schemes for continuoustime switched systems with homogeneous right-hand sides. By using the Lyapunov direct method, some sufficient conditions of the asymptotic stability of solutions for difference systems are obtained. These conditions depend on the information available about the switching law. Three cases are considered. In the first case, we can guarantee the asymptotic stability for any switching law, while in the second and in the third ones, classes of switched signals are determined for which the preservation of the asymptotic stability takes place. © Springer-Verlag Berlin Heidelberg 2016.
引用
收藏
页码：53 / 67
页数：14
相关论文
共 50 条
  • [31] Switched Feedback Equivalence of a Class of Planar Switched Nonlinear Systems
    Yazdi, M. Barkhordari
    Jahed-Motlagh, M. R.
    Attia, S. A.
    Raisch, J.
    [J]. PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 4264 - 4269
  • [32] ROBUST STABILIZATION AND TRACKING CONTROL FOR A CLASS OF SWITCHED NONLINEAR SYSTEMS
    Niu, Ben
    Zhao, Jun
    [J]. ASIAN JOURNAL OF CONTROL, 2013, 15 (05) : 1496 - 1502
  • [33] Stability condition for difference schemes for parabolic systems
    Sun, WW
    Yuan, GW
    [J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 2000, 38 (02) : 548 - 555
  • [34] Stabilization of a Class of Switched Positive Nonlinear Systems
    Xing, Xing
    Jia, Zhichun
    Yin, Yunfei
    Wu, Tingting
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [35] Stability Analysis and Control Synthesis for a Class of Cascade Switched Nonlinear Systems with Actuator Saturation
    Juan Wang
    Jun Zhao
    [J]. Circuits, Systems, and Signal Processing, 2014, 33 : 2961 - 2970
  • [36] Asymptotic stability conditions for a class of hybrid mechanical systems with switched nonlinear positional forces
    Alexander Aleksandrov
    Elena Aleksandrova
    [J]. Nonlinear Dynamics, 2016, 83 : 2427 - 2434
  • [37] Stability Analysis of a Class of Switched Nonlinear Systems with an Improved Average Dwell Time Method
    Guo, Rongwei
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [38] Asymptotic stability conditions for a class of hybrid mechanical systems with switched nonlinear positional forces
    Aleksandrov, Alexander
    Aleksandrova, Elena
    [J]. NONLINEAR DYNAMICS, 2016, 83 (04) : 2427 - 2434
  • [39] Stability Criterions for a Class of Switched Linear Systems
    Zou, Hongbo
    Lu, Renquan
    Xu, Ouguan
    [J]. PROCEEDINGS OF THE 2009 WRI GLOBAL CONGRESS ON INTELLIGENT SYSTEMS, VOL II, 2009, : 323 - +
  • [40] Almost Sure Stability of A Class of Switched Systems
    Yang Jie
    Song Yang
    Yang Taicheng
    Zheng Min
    [J]. 2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2015, : 2086 - 2090
12345