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
收藏
页码:4724 / 4729
页数:6
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