Numerical Calculation of Nonsmooth Control Lyapunov Functions via Piecewise Affine Approximation

URN to cite this document: urn:nbn:de:bvb:703-epub-4165-8

Title data

Baier, Robert ; Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M.:
Numerical Calculation of Nonsmooth Control Lyapunov Functions via Piecewise Affine Approximation.
Bayreuth; Newcastle, Australia , 2019 . - 6 S.

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Available under License	German copyright law. This contribution is freely accessible with the consent of the copyright holder on the basis of an (DFG-funded) alliance or national license. The document may be used free of charge for personal use. In addition, the reproduction, editing, distribution and any kind of exploitation require the written consent of the respective rights holder.

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Project information

Project title:

Project's official title	Project's id
Activating Lyapunov-Based Feedback - Nonsmooth Control Lyapunov Functions	DP160102138

Project financing:

ARC (Australian Research Council)

Abstract

We review the numerical computation of control Lyapunov functions for switched systems in the Filippov sense and in the sample-and-hold sense. The computed (control) Lyapunov functions are piecewise affine and the decrease conditions involve either generalized gradients or the Dini subderivate. Further conditions for stabilization or stabilizability yield a (mixed) linear integer optimization problem.

Further data

Item Type:	Preprint, postprint
Keywords:	(control) Lyapunov function; asymptotic stability; controllability; switched systems; piecewise linear analysis; linear programming; mixed-integer problems
DDC Subjects:	500 Science > 510 Mathematics
Institutions of the University:	Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics Profile Fields > Advanced Fields > Nonlinear Dynamics Profile Fields Profile Fields > Advanced Fields
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-4165-8
Date Deposited:	13 Feb 2019 07:54
Last Modified:	14 Mar 2019 13:41
URI:	https://epub.uni-bayreuth.de/id/eprint/4165

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