Converse theorems of the principal Lyapunov results for partial stability of general dynamical systems on metric spaces

被引：3
|
作者：
Molchanov, AP [1 ]
Michel, AN [1 ]
Sun, Y [1 ]
机构：
[1] Russian Acad Sci, Inst Control Sci, Moscow 117997, Russia
来源：
42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS | 2003年
关键词：
D O I：
10.1109/CDC.2003.1272442
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 present converse theorems for the Principal Lyapunov Results concerning partial stability properties of general dynamical systems defined on metric spaces. We consider the general case of partial stability (y-stability) with respect to disturbances in all of the initial state variables x(0) = (y(0), z(0)) as well as the case of y-stability under arbitrary z-perturbations.
引用
收藏
页码：5085 / 5090
页数：6
相关论文
共 50 条
  • [1] Partial stability and boundedness of general dynamical systems on metric spaces
    Michel, AN
    Molchanov, AP
    Sun, Y
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (04) : 1295 - 1316
  • [2] On the continuity of the Lyapunov functions in the converse stability theorems for discontinuous dynamical systems
    Hou, Ling
    Michel, Anthony N.
    [J]. PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 5097 - 5097
  • [3] On the continuity of the Lyapunov functions in the converse stability theorems for discontinuous dynamical systems
    Hou, Ling
    Michel, Anthony N.
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2008, 2 (04) : 1021 - 1029
  • [4] Forward and Converse Lyapunov Theorems for Discrete Dynamical Systems
    Jafari, Reza
    Kable, Anthony
    Hagan, Martin
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (09) : 2496 - 2501
  • [5] Other proof of the converse Lyapunov theorems of hybrid dynamical systems
    Gao Rui
    Wang Lei
    Wang Yu-zhen
    [J]. Proceedings of 2005 Chinese Control and Decision Conference, Vols 1 and 2, 2005, : 121 - 125
  • [6] CONVERSE LYAPUNOV THEOREMS FOR SWITCHED SYSTEMS IN BANACH AND HILBERT SPACES
    Hante, Falk M.
    Sigalotti, Mario
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2011, 49 (02) : 752 - 770
  • [7] New converse Lyapunov theorems and related results on exponential stability
    Corless, M
    Glielmo, L
    [J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1998, 11 (01) : 79 - 100
  • [8] New converse Lyapunov theorems and related results on exponential stability
    Martin Corless
    Luigi Glielmo
    [J]. Mathematics of Control, Signals and Systems, 1998, 11 : 79 - 100
  • [9] Converse Lyapunov theorems and robust asymptotic stability for hybrid systems
    Cai, CH
    Teel, AR
    Goebel, R
    [J]. ACC: PROCEEDINGS OF THE 2005 AMERICAN CONTROL CONFERENCE, VOLS 1-7, 2005, : 12 - 17
  • [10] Results on converse Lyapunov theorems for difference inclusions
    Kellett, CM
    Teel, AR
    [J]. 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, : 3627 - 3632
12345