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Numerical Calculation of Nonsmooth Control Lyapunov Functions via Piecewise Affine Approximation

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 p.

Official URL: Volltext

Project information

Project title:
Project's official titleProject's id
Activating Lyapunov-Based Feedback - Nonsmooth Control Lyapunov FunctionsDP160102138

Project financing: ARC (Australian Research Council)

Abstract in another language

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, working paper, discussion paper
Keywords: (control) Lyapunov function; asymptotic stability; controllability; switched systems; piecewise linear analysis; linear programming; mixed-integer problems
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
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 16 Feb 2019 22:00
Last Modified: 14 Mar 2019 13:41
URI: https://eref.uni-bayreuth.de/id/eprint/47445