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Computing Lyapunov functions for strongly asymptotically stable differential inclusions

Title data

Baier, Robert ; Grüne, Lars ; Hafstein, S. F.:
Computing Lyapunov functions for strongly asymptotically stable differential inclusions.
In: IFAC Proceedings Volumes. Vol. 43 (2010) Issue 14 . - pp. 1098-1103.
ISSN 1474-6670
DOI: https://doi.org/10.3182/20100901-3-IT-2016.00132

Abstract in another language

We present a numerical algorithm for computing Lyapunov functions for a class of strongly asymptotically stable nonlinear differential inclusions which includes switched systems and systems with uncertain parameters. The method relies on techniques from nonsmooth analysis and linear programming and leads to a piecewise affine Lyapunov function. We provide a thorough analysis of the method and present two numerical examples.

Further data

Item Type: Article in a journal
Refereed: Yes
Additional notes: 8th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2010), University of Bologna, Italy, September 1-3, 2010
Contents:
1. Introduction
2. Notation and Preliminaries
3. Lyapunov Functions
4. The Algorithm
5. Examples
Keywords: Lyapunov functions; stability of nonlinear systems; strongly asymptotical stability; differential inclusions; switched systems; piecewise linear hybrid systems; linear programming; numerical methods; nonsmooth analysis
Subject classification: Mathematics Subject Classification Code: 93D30 (93D20 34A36 34A60 90C05 34A38 37B25)
Institutions of the University: 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
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)
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 02 Mar 2021 13:27
Last Modified: 24 Mar 2021 06:24
URI: https://eref.uni-bayreuth.de/id/eprint/63601