Control-lyapunov functions for systems satisfying the conditions of the Jurdjevic-Quinn theorem

被引：0

作者：

Mazenc, Frederic ^{[1
]}

Malisoff, Michael ^{[1
]}

机构：

[1] INRA, Projet MERE, INRIA, UMR Anal Syst & Biometrie, F-34060 Montpellier, France

来源：

2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8 | 2005年

关键词：

INTEGRAL-INPUT; ASYMPTOTIC CONTROLLABILITY; STABILIZATION; STABILITY;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

For a broad class of nonlinear systems satisfying the Jurdjevic-Quinn conditions, we construct a family of smooth control-Lyapunov functions whose derivatives along the trajectories of the systems can be made negative definite by smooth control laws that are arbitrarily small in norm. We also design state feedbacks of arbitrarily small norm that render our systems integral-input-to-state stable to actuator errors.

引用

页码：4724 / 4729

页数：6

共 50 条

[1] Further constructions of control-Lyapunov functions and stabilizing feedbacks for systems satisfying the Jurdjevic-Quinn conditions
Mazenc, F
Malisoff, M
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (02) : 360 - 365
[2] Mean-field sparse Jurdjevic-Quinn control
Caponigro, Marco
Piccoli, Benedetto
Rossi, Francesco
Trelat, Emmanuel
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2017, 27 (07): : 1223 - 1253
[3] On Piecewise Quadratic Control-Lyapunov Functions for Switched Linear Systems
Zhang, Wei
Abate, Alessandro
Vitus, Michael P.
Hu, Jianghai
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
[4] Lyapunov functions for time varying systems satisfying generalized conditions of Matrosov theorem
Mazenc, Frederic
Nesic, Dragan
2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8, 2005, : 5432 - 5437
[5] Weak converse Lyapunov theorems and control-Lyapunov functions
Kellett, CM
Teel, AR
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2004, 42 (06) : 1934 - 1959
[6] Lyapunov functions for time-varying systems satisfying generalized conditions of Matrosov theorem
Frédéric Mazenc
Dragan Nesic
Mathematics of Control, Signals, and Systems, 2007, 19 : 151 - 182
[7] Lyapunov functions for time-varying systems satisfying generalized conditions of Matrosov theorem
Mazenc, Frederic
Nesic, Dragan
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2007, 19 (02) : 151 - 182
[8] LOWER BOUNDED CONTROL-LYAPUNOV FUNCTIONS
Hirschorn, Ronald
COMMUNICATIONS IN INFORMATION AND SYSTEMS, 2008, 8 (04) : 399 - 412
[9] On merging constraint and optimal control-Lyapunov functions
Blanchini, Franco
Fabiani, Filippo
Grammatico, Sergio
2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2018, : 2328 - 2333
[10] Semiconcave control-Lyapunov functions and stabilizing feedbacks
Rifford, L
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2002, 41 (03) : 659 - 681

← 1 2 3 4 5 →