Control Lyapunov functions for homogeneous “Jurdjevic-Quinn” systems

ludovic faubourg; jean-baptiste pomet

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 5, page 293-311
  • ISSN: 1292-8119

Abstract

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This paper presents a method to design explicit control Lyapunov functions for affine and homogeneous systems that satisfy the so-called “Jurdjevic-Quinn conditions”. For these systems a positive definite function V0 is known that can only be made non increasing by feedback. We describe how a control Lyapunov function can be obtained via a deformation of this “weak” Lyapunov function. Some examples are presented, and the linear quadratic situation is treated as an illustration.

How to cite

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ludovic faubourg, and jean-baptiste pomet. "Control Lyapunov functions for homogeneous “Jurdjevic-Quinn” systems." ESAIM: Control, Optimisation and Calculus of Variations 5 (2010): 293-311. <http://eudml.org/doc/197316>.

@article{ludovicfaubourg2010,
abstract = { This paper presents a method to design explicit control Lyapunov functions for affine and homogeneous systems that satisfy the so-called “Jurdjevic-Quinn conditions”. For these systems a positive definite function V0 is known that can only be made non increasing by feedback. We describe how a control Lyapunov function can be obtained via a deformation of this “weak” Lyapunov function. Some examples are presented, and the linear quadratic situation is treated as an illustration. },
author = {ludovic faubourg, jean-baptiste pomet},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Feedback stabilization; control Lyapunov function; Lyapunov design.; feedback stabilization; control Lyapunov functions; Lyapunov design},
language = {eng},
month = {3},
pages = {293-311},
publisher = {EDP Sciences},
title = {Control Lyapunov functions for homogeneous “Jurdjevic-Quinn” systems},
url = {http://eudml.org/doc/197316},
volume = {5},
year = {2010},
}

TY - JOUR
AU - ludovic faubourg
AU - jean-baptiste pomet
TI - Control Lyapunov functions for homogeneous “Jurdjevic-Quinn” systems
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 5
SP - 293
EP - 311
AB - This paper presents a method to design explicit control Lyapunov functions for affine and homogeneous systems that satisfy the so-called “Jurdjevic-Quinn conditions”. For these systems a positive definite function V0 is known that can only be made non increasing by feedback. We describe how a control Lyapunov function can be obtained via a deformation of this “weak” Lyapunov function. Some examples are presented, and the linear quadratic situation is treated as an illustration.
LA - eng
KW - Feedback stabilization; control Lyapunov function; Lyapunov design.; feedback stabilization; control Lyapunov functions; Lyapunov design
UR - http://eudml.org/doc/197316
ER -

References

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