Titlebar

Export bibliographic data
Literature by the same author
plus on the publication server
plus at Google Scholar

 

Discrete Approximation of Impulsive Differential Inclusions

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005579
URN to cite this document: urn:nbn:de:bvb:703-epub-5579-5

Title data

Baier, Robert ; Donchev, Tzanko:
Discrete Approximation of Impulsive Differential Inclusions.
Bayreuth , 2009

[img]
Format: PDF
Name: baier_et_al_discr_approx_impuls_di_him_2009.pdf
Version: Published Version
Available under License Creative Commons BY 4.0: Attribution
Download (767kB)
[img]
Format: PDF
Name: baier_et_al_num_fun_an_opt_2010.pdf
Version: Published Version
Available under License Creative Commons BY 4.0: Attribution
Download (764kB)

Abstract

The paper deals with the approximation of the solution set and the reachable sets of an impulsive differential inclusion with variable times of impulses. It is strongly connected to T. Donchev, ``Approximation of the Solution Set of Impulsive Systems", Lecture Notes in Comput. Sci. 4818 (2008) and is its continuation. We achieve order of convergence 1 for the Euler approximation under Lipschitz assumptions on the set-valued right-hand side and on the functions describing the jump surfaces and jumps themselves. Another criterion prevents the beating phenomena and generalizes available conditions. Several test examples illustrate the conditions and the practical evaluation of the jump conditions.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erscheint in:
Numerical Functional Analysis and Optimization. Bd. 31 (2010) Heft 6 . - S. 653-678
DOI: https://doi.org/10.1080/01630563.2010.483878
Keywords: impulsive differential inclusions; numerical approximation of the solution set and the reachable set; Euler's method; convergence order; evaluation of the jump conditions
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)
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-5579-5
Date Deposited: 20 May 2021 12:19
Last Modified: 09 Jun 2021 08:45
URI: https://epub.uni-bayreuth.de/id/eprint/5579

Downloads

Downloads per month over past year