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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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 (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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