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

页码：226 / 249

页数：24

共 50 条

[41] Local input-to-state stability: Characterizations and counterexamples
Mironchenko, Andrii
SYSTEMS & CONTROL LETTERS, 2016, 87 : 23 - 28
[42] Weak input-to-state stability: characterizations and counterexamples
Schmid, Jochen
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2019, 31 (04) : 433 - 454
[43] Lyapunov Descriptions of Robust Output Stability for Systems with Delays
Kankanamalage, Hasala Gallolu
Wang, Yuan
2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 6416 - 6421
[44] Lyapunov-Krasovskii Characterizations of Stability Notions for Switching Retarded Systems
Haidar, Ihab
Pepe, Pierdomenico
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 66 (01) : 437 - 443
[45] Lyapunov functions for neural nets with nondifferentiable input-output characteristics
Feng, JF
NEURAL COMPUTATION, 1997, 9 (01) : 43 - 49
[46] Explicit Lyapunov functions for stability and performance characterizations of FOREs connected to an integrator
Zaccarian, Luca
Nesic, Dragan
Teel, Andrew R.
PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 771 - +
[47] Lyapunov conditions for input-to-state stability of impulsive systems
Hespanha, Joao P.
Liberzon, Daniel
Teel, Andrew R.
AUTOMATICA, 2008, 44 (11) : 2735 - 2744
[48] Results on Input-to-Output and Input-Output-to-State Stability for Hybrid Systems and their Interconnections
Sanfelice, Ricardo G.
49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, : 2396 - 2401
[49] Lyapunov Stability of Linear Predictor Feedback for Distributed Input Delays
Bekiaris-Liberis, Nikolaos
Krstic, Miroslav
49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, : 146 - 151
[50] Uniform asymptotic and input to state stability by indefinite Lyapunov functions
Sahan, Gokhan
Ozdemir, Derya
EUROPEAN JOURNAL OF CONTROL, 2024, 76

← 1 2 3 4 5 →