Piecewise quadratic Lyapunov functions for piecewise affine time-delay systems

被引:0
|
作者
Kulkarni, V [1 ]
Jun, M [1 ]
Hespanha, J [1 ]
机构
[1] MIT, Informat & Decis Syst Lab, Cambridge, MA 02139 USA
关键词
Lyapunov functions; hybrid systems; stability;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We investigate some particular classes of hybrid systems subject to a class of time delays; the time delays can be constant or time varying. For such systems, we present the corresponding classes of piecewise continuous Lyapunov functions.
引用
收藏
页码:3885 / 3889
页数:5
相关论文
共 50 条
  • [1] Discontinuous piecewise quadratic Lyapunov functions for planar piecewise affine systems
    Eghbal, Najmeh
    Pariz, Naser
    Karimpour, Ali
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 399 (02) : 586 - 593
  • [2] Stability of Piecewise Affine Systems through Discontinuous Piecewise Quadratic Lyapunov Functions
    Iervolino, Raffaele
    Trenn, Stephan
    Vasca, Francesco
    2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2017,
  • [3] Stability of Uncertain Piecewise Affine Systems with Time-Delay
    Moezzi, Kaveh
    Rodrigues, Luis
    Aghdam, Amir G.
    2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, : 2373 - +
  • [4] On piecewise quadratic Lyapunov functions for piecewise affine models of gene regulatory networks
    Pasquini, Mirko
    Angeli, David
    2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2018, : 1071 - 1076
  • [5] Stability Criteria for Uncertain Piecewise Affine Time-Delay Systems
    Duan, Shiming
    Ni, Jun
    Ulsoy, A. Galip
    2012 AMERICAN CONTROL CONFERENCE (ACC), 2012, : 5460 - 5465
  • [6] On Infinity Norms as Lyapunov Functions for Piecewise Affine Systems
    Lazar, Mircea
    Jokic, Andrej
    HSSC 10: PROCEEDINGS OF THE 13TH ACM INTERNATIONAL CONFERENCE ON HYBRID SYSTEMS: COMPUTATION AND CONTROL, 2010, : 131 - 139
  • [7] Discontinuous Lyapunov functions for a class of piecewise affine systems
    Cheraghi-Shami, Farideh
    Gharaveisi, Ali-Akbar
    Farsangi, Malihe M.
    Mohammadian, Mohsen
    TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2019, 41 (03) : 729 - 736
  • [8] Homogeneous polynomial Lyapunov functions for piecewise affine systems
    Xu, J
    Xie, LH
    ACC: PROCEEDINGS OF THE 2005 AMERICAN CONTROL CONFERENCE, VOLS 1-7, 2005, : 581 - 586
  • [10] Computation of piecewise quadratic Lyapunov functions for hybrid systems
    Johansson, M
    Rantzer, A
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) : 555 - 559