Complete Lyapunov functions of control systems

被引：15
|
作者：
Souza, Josiney A. [1 ]
机构：
[1] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana, Brazil
来源：
SYSTEMS & CONTROL LETTERS | 2012年 / 61卷 / 02期
关键词：
Morse decomposition; Chain recurrence; Lyapunov function; SEMIFLOWS;
D O I：
10.1016/j.sysconle.2011.11.013
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the notion of complete Lyapunov function of control systems is introduced. The purpose is to determine a continuous real-valued function that describes the global structure of the system. The existence of complete Lyapunov functions is proved for certain classes of affine control systems on compact manifolds. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：322 / 326
页数：5
相关论文
共 50 条
  • [41] Controller design for nonlinear affine systems by control Lyapunov functions
    Ding, Shihong
    Zheng, Wei Xing
    SYSTEMS & CONTROL LETTERS, 2013, 62 (10) : 930 - 936
  • [42] Stabilization of nonlinear switched systems using control Lyapunov functions
    Moulay, Emmanuel
    Bourdais, Romain
    Perruquetti, Wilfrid
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2007, 1 (04) : 482 - 490
  • [43] Control Lyapunov functions for homogeneous Jurdjevic-Quinn systems
    Faubourg, L.
    Pomet, J.-B.
    ESAIM Control, Optimisation and Calculus of Variations, 2000, (05) : 293 - 311
  • [44] A Synthesis of the Control of Dynamical Systems on the Basis of the Method of Lyapunov Functions
    Anan'evskii I.M.
    Journal of Mathematical Sciences, 2014, 199 (6) : 597 - 603
  • [45] Episodic Learning with Control Lyapunov Functions for Uncertain Robotic Systems
    Taylor, Andrew J.
    Dorobantu, Victor D.
    Le, Hoang M.
    Yue, Yisong
    Ames, Aaron D.
    2019 IEEE/RSJ INTERNATIONAL CONFERENCE ON INTELLIGENT ROBOTS AND SYSTEMS (IROS), 2019, : 6878 - 6884
  • [46] Energy Shaping of Hybrid Systems via Control Lyapunov Functions
    Sinnet, Ryan W.
    Ames, Aaron D.
    2015 AMERICAN CONTROL CONFERENCE (ACC), 2015, : 5992 - 5997
  • [47] Discontinuous control of nonholonomic systems using nondifferentiable Lyapunov functions
    Nakamura, H
    Yamashita, Y
    Nishitani, H
    Yamamoto, H
    SICE 2003 ANNUAL CONFERENCE, VOLS 1-3, 2003, : 1415 - 1418
  • [48] LyapXool - a program to compute complete Lyapunov functions
    Argaez, Carlos
    Berthet, Jean-Claude
    Bjornsson, Hjortur
    Giesl, Peter
    Hafstein, Sigurdur Freyr
    SOFTWAREX, 2019, 10
  • [49] Polyhedral Path-Complete Lyapunov Functions
    Athanasopoulos, N.
    Jungers, R. M.
    2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), 2019, : 3399 - 3404
  • [50] Flexible Control Lyapunov Functions
    Lazar, M.
    2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, : 102 - 107
12345