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
  • [41] Cone-Copositive Piecewise Quadratic Lyapunov Functions for Conewise Linear Systems
    Iervolino, Raffaele
    Vasca, Francesco
    Iannelli, Luigi
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (11) : 3077 - 3082
  • [42] CONSTRUCTION OF PIECEWISE-QUADRATIC LYAPUNOV FUNCTIONS FOR NONLINEAR CONTROL-SYSTEMS
    BOGATYREV, AV
    PYATNITSKII, ES
    AUTOMATION AND REMOTE CONTROL, 1987, 48 (10) : 1292 - 1299
  • [43] Analysis of systems with saturation/deadzone via piecewise-quadratic Lyapunov functions
    Dai, Dan
    Hu, Tingshu
    Teel, Andrew R.
    Zaccarian, Luca
    2007 AMERICAN CONTROL CONFERENCE, VOLS 1-13, 2007, : 4304 - 4309
  • [44] Robust Stabilization for Uncertain Control Systems Using Piecewise Quadratic Lyapunov Functions
    Zhang Yinping & Sun Jitao Dept. of Appl. Math.
    JournalofSystemsEngineeringandElectronics, 2002, (04) : 56 - 60
  • [45] CONTROLLABILITY OF LINEAR TIME-DELAY SYSTEMS WITH PIECEWISE CONSTANT INPUTS
    THOWSEN, A
    PERKINS, WR
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1976, 7 (03) : 347 - 360
  • [46] Continuous and Piecewise Affine Lyapunov Functions using the Yoshizawa Construction
    Hafstein, Sigurour
    Kellett, Christopher M.
    Li, Huijuan
    2014 AMERICAN CONTROL CONFERENCE (ACC), 2014, : 548 - 553
  • [47] Construction of continuous and piecewise affine Lyapunov functions via a finite-time converse
    Steentjes, Tom R. V.
    Doban, Alina I.
    Lazar, Mircea
    IFAC PAPERSONLINE, 2016, 49 (18): : 13 - 18
  • [48] Delay-dependent stabilization for continuous-time piecewise time-delay systems
    Song, Xinmin
    Zhou, Shaosheng
    Zheng, Wei Xing
    WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, 2006, : 578 - +
  • [49] Observer-based synchronization for piecewise-linear discrete chaotic systems based on piecewise quadratic Lyapunov functions
    Zhang, HB
    Li, CU
    Liao, XF
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2005, 19 (29): : 4389 - 4397
  • [50] Incremental L2-gain analysis of piecewise-affine systems using piecewise quadratic storage functions
    Waitman, Sergio
    Massioni, Paolo
    Bako, Laurent
    Scorletti, Gerard
    Fromion, Vincent
    2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 1334 - 1339