General classes of control-Lyapunov functions

被引：0
|
作者：
Sontag, ED
Sussmann, HJ
机构：
来源：
STABILITY THEORY: HURWITZ CENTENARY CONFERENCE, CENTRO STEFANO FRANSCINI, ASCONA, 1995 | 1996年 / 121卷
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main result of this paper establishes the equivalence between null asymptotic controllability of nonlinear finite-dimensional control systems and the existence of continuous control-lyapunov functions (CLF's) defined by means of generalized derivatives. In this manner, one obtains a complete characterization of asymptotic controllability, applying in principle to a far wider class of systems than Artstein's Theorem (which relates closed-loop feedback stabilization to the existence of smooth CLF's). The proof relies on viability theory and optimal control techniques.
引用
收藏
页码：87 / 96
页数：4
相关论文
共 50 条
  • [1] Weak converse Lyapunov theorems and control-Lyapunov functions
    Kellett, CM
    Teel, AR
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2004, 42 (06) : 1934 - 1959
  • [2] LOWER BOUNDED CONTROL-LYAPUNOV FUNCTIONS
    Hirschorn, Ronald
    [J]. COMMUNICATIONS IN INFORMATION AND SYSTEMS, 2008, 8 (04) : 399 - 412
  • [3] On merging constraint and optimal control-Lyapunov functions
    Blanchini, Franco
    Fabiani, Filippo
    Grammatico, Sergio
    [J]. 2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2018, : 2328 - 2333
  • [4] Semiconcave control-Lyapunov functions and stabilizing feedbacks
    Rifford, L
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2002, 41 (03) : 659 - 681
  • [5] Existence of Lipschitz and semiconcave control-Lyapunov functions
    Rifford, L
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 39 (04) : 1043 - 1064
  • [6] Results on discrete-time control-Lyapunov functions
    Kellett, CM
    Teel, AR
    [J]. 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, : 5961 - 5966
  • [7] Stratified semiconcave control-Lyapunov functions and the stabilization problem
    Rifford, L
    [J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2005, 22 (03): : 343 - 384
  • [8] On Piecewise Quadratic Control-Lyapunov Functions for Switched Linear Systems
    Zhang, Wei
    Abate, Alessandro
    Vitus, Michael P.
    Hu, Jianghai
    [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, : 1088 - 1093
  • [9] On control-Lyapunov functions for hybrid time-varying systems
    Malisoff, Michael
    Mazenc, Frederic
    [J]. PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 3266 - 3268
  • [10] On the existence of nonsmooth control-Lyapunov functions in the sense of generalized gradients
    Rifford, L
    [J]. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2001, 6 (25) : 593 - 611
12345