Continuous control-Lyapunov functions for asymptotically controllable time-varying systems

被引:41
|
作者
Albertini, F
Sontag, ED
机构
[1] Univ Padua, Dipartimento Matemat, I-35100 Padua, Italy
[2] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA
关键词
D O I
10.1080/002071799219977
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 shows that, for time varying systems, global asymptotic controllability to a given closed subset of the state space is equivalent to the existence of a continuous control-lyapunov function with respect to the set.
引用
收藏
页码:1630 / 1641
页数:12
相关论文
共 50 条
  • [1] On control-Lyapunov functions for hybrid time-varying systems
    Malisoff, Michael
    Mazenc, Frederic
    PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 3266 - 3268
  • [2] TIME-VARYING LYAPUNOV FUNCTIONS FOR LINEAR TIME-VARYING SYSTEMS
    RAMARAJAN, S
    INTERNATIONAL JOURNAL OF CONTROL, 1986, 44 (06) : 1699 - 1702
  • [3] CONTROL LYAPUNOV FUNCTIONS AND STABILIZATION BY MEANS OF CONTINUOUS TIME-VARYING FEEDBACK
    Karafyllis, Iasson
    Tsinias, John
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2009, 15 (03) : 599 - 625
  • [4] Strict Lyapunov functions for time-varying systems
    Mazenc, F
    AUTOMATICA, 2003, 39 (02) : 349 - 353
  • [5] LYAPUNOV FUNCTIONS FOR NONLINEAR TIME-VARYING SYSTEMS
    NARENDRA, KS
    TAYLOR, JH
    INFORMATION AND CONTROL, 1968, 12 (5-6): : 378 - &
  • [6] Strict Lyapunov Functions for Homogeneous Time-Varying Systems
    Zhang, Bin
    Jia, Yingmin
    Du, Junping
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2021, 51 (03): : 1994 - 2002
  • [7] Time-Varying Lyapunov Functions for Tracking Control of Mechanical Systems With and Without Frictions
    Ren, Weizheng
    Zhang, Bin
    Li, Haiyuan
    Yan, Lutao
    IEEE ACCESS, 2020, 8 : 51510 - 51517
  • [8] Results on discrete-time control-Lyapunov functions
    Kellett, CM
    Teel, AR
    42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, : 5961 - 5966
  • [9] Positive continuous-time linear time-varying lyapunov systems
    Warsaw University of Technology, Faculty of Electrical Engineering, Institute of Control and Industrial Electronics, Koszykowa 75, 00-662 Warsaw, Poland
    Syst Sci, 2007, 4 (5-12):
  • [10] LYAPUNOV FUNCTIONS FOR UNCERTAIN SYSTEMS WITH APPLICATIONS TO THE STABILITY OF TIME-VARYING SYSTEMS
    DASGUPTA, S
    CHOCKALINGAM, G
    ANDERSON, BDO
    FU, MY
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1994, 41 (02): : 93 - 106