Input-to-state stability with respect to inputs and their derivatives

被引：33
|
作者：
Angeli, D
Sontag, ED
Wang, Y
机构：
[1] Univ Florence, Dipartimento Sistemi & Informat, I-50139 Florence, Italy
[2] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA
[3] Florida Atlantic Univ, Dept Math, Boca Raton, FL 33431 USA
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2003年 / 13卷 / 11期
关键词：
input-to-state stability; Lyapunov methods; dissipative systems; cascaded systems;
D O I：
10.1002/rnc.753
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A new notion of input-to-state stability involving infinity norms of input derivatives up to a finite order k is introduced and characterized. An example shows that this notion of stability is indeed weaker than the usual ISS. Applications to the study of global asymptotic stability of cascaded non-linear systems are discussed. Copyright (C) 2003 John Wiley Sons, Ltd.
引用
收藏
页码：1035 / 1056
页数：22
相关论文
共 50 条
  • [11] On the Input-to-State Stability Property
    Sontag, Eduardo D.
    EUROPEAN JOURNAL OF CONTROL, 1995, 1 (01) : 24 - 36
  • [12] On Differential Input-to-State Stability
    Kawano, Yu
    2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 3874 - 3879
  • [13] Input-to-State Stability for the Control of Stefan Problem with Respect to Heat Loss at the Interface
    Koga, Shumon
    Karafyllis, Iasson
    Krstic, Miroslav
    2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC), 2018, : 1740 - 1745
  • [14] Input-to-state stability with respect to measurement disturbances for one-dimensional systems
    Ecole Normale Superieure, 45 Rue d'Ulm, 75005 Paris, France
    Control Optimisation Calc. Var., 4 (99-121):
  • [15] Lyapunov functions for input-to-state stability of infinite-dimensional systems with integrable inputs
    Mironchenko, Andrii
    IFAC PAPERSONLINE, 2020, 53 (02): : 5336 - 5341
  • [16] New characterizations of input-to-state stability
    Sontag, ED
    Wang, Y
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (09) : 1283 - 1294
  • [17] Input-to-State Stability with respect to Two Measurement Functions: Discrete-Time Systems
    Tran, Duc N.
    Kellett, Christopher M.
    Dower, Peter M.
    2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2015, : 1817 - 1822
  • [18] On input-to-state stability of impulsive systems
    Hespanha, Joao P.
    Liberzon, Daniel
    Teel, Andrew R.
    2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8, 2005, : 3992 - 3997
  • [19] Input-to-state stability on formation graphs
    Tanner, HG
    Pappas, GJ
    Kumar, V
    PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2002, : 2439 - 2444
  • [20] Criteria for Input-to-State Practical Stability
    Mironchenko, Andrii
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (01) : 298 - 304
12345