Lyapunov characterizations of input to output stability

被引：133
|
作者：
Sontag, E [1 ]
Wang, Y
机构：
[1] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA
[2] Florida Atlantic Univ, Dept Math, Boca Raton, FL 33431 USA
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2000年 / 39卷 / 01期
关键词：
Lyapunov functions; output stability; ISS; robust control;
D O I：
10.1137/S0363012999350213
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 presents necessary and sufficient characterizations of several notions of input to output stability. Similar Lyapunov characterizations have been found to play a key role in the analysis of the input to state stability property, and the results given here extend their validity to the case when the output, but not necessarily the entire internal state, is being regulated.
引用
收藏
页码：226 / 249
页数：24
相关论文
共 50 条
  • [21] Adaptive Logic Characterizations of Input/Output Logic
    Strasser, Christian
    Beirlaen, Mathieu
    Van De Putte, Frederik
    STUDIA LOGICA, 2016, 104 (05) : 869 - 916
  • [22] Lyapunov characterizations of input-to-state stability for discrete-time switched systems via finite-step Lyapunov functions
    Sharifi, Maryam
    Noroozi, Navid
    Findeisen, Rolf
    IFAC PAPERSONLINE, 2020, 53 (02): : 2016 - 2021
  • [23] Improved multiple Lyapunov functions of input-output-to-state stability for nonlinear switched systems
    Chen, Shizhang
    Ning, Chongyang
    Liu, Qian
    Liu, Qingping
    INFORMATION SCIENCES, 2022, 608 : 47 - 62
  • [24] Lyapunov-Krasovskii Characterizations of Integral Input-to-State Stability of Delay Systems With Nonstrict Dissipation Rates
    Chaillet, Antoine
    Goksu, Gokhan
    Pepe, Pierdomenico
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (07) : 3259 - 3272
  • [25] Notions of input to output stability
    Sontag, Eduardo D.
    Wang, Yuan
    Systems and Control Letters, 1999, 38 (4-5): : 235 - 248
  • [26] Notions of input to output stability
    Sontag, ED
    Wang, Y
    SYSTEMS & CONTROL LETTERS, 1999, 38 (4-5) : 235 - 248
  • [27] STABILITY ANALYSIS OF INPUT-OUTPUT LINEARIZATION CONTROL WITH LUGRE FRICTION MODEL USING LYAPUNOV EXPONENTS
    Sun, Yun-Hsiang
    Wu, Christine Qiong
    PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION, 2015, VOL 4B, 2016,
  • [28] ON CHARACTERIZATIONS OF THE INPUT-TO-STATE STABILITY PROPERTY
    SONTAG, ED
    WANG, Y
    SYSTEMS & CONTROL LETTERS, 1995, 24 (05) : 351 - 359
  • [29] New characterizations of input-to-state stability
    Sontag, ED
    Wang, Y
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (09) : 1283 - 1294
  • [30] EQUIVALENCE OF INPUT OUTPUT STABILITY AND EXPONENTIAL STABILITY
    CURTAIN, RF
    SYSTEMS & CONTROL LETTERS, 1989, 12 (03) : 235 - 239
12345