Computing Lyapunov functions for strongly asymptotically stable differential inclusions

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005607
URN to cite this document: urn:nbn:de:bvb:703-epub-5607-8

Title data

Baier, Robert ; Grüne, Lars ; Hafstein, Sigurdur Freyr:
Computing Lyapunov functions for strongly asymptotically stable differential inclusions.
Bayreuth , 2010

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Abstract

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:	Preprint, postprint
Additional notes (visible to public):	erscheint in: IFAC Proceedings Volumes. Bd. 43 (2010) Heft 14 . - S. 1098-1103 DOI: https://doi.org/10.3182/20100901-3-IT-2016.00132
Keywords:	Lyapunov functions; stability of nonlinear systems; strongly asymptotical stability; differential inclusions; switched systems; piecewise linear hybrid systems; linear programming; numerical methods; nonsmooth analysis
DDC Subjects:	500 Science 500 Science > 510 Mathematics
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)
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-5607-8
Date Deposited:	25 May 2021 13:35
Last Modified:	08 Jun 2021 10:13
URI:	https://epub.uni-bayreuth.de/id/eprint/5607

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