eprintid: 13618
rev_number: 7
eprint_status: archive
userid: 353
dir: disk0/00/01/36/18
datestamp: 2016-08-09 06:58:53
lastmod: 2021-08-27 17:27:34
status_changed: 2016-08-09 06:58:53
type: conference_item
metadata_visibility: show
item_issues_count: 3
creators_name: Wolenski, P.
creators_id: AL1384
title: The exponential formula for a Lipschitz differential inclusion
ispublished: pub
abstract: The differential inclusion formulation subsumes certain control problems. The process of converting the control formulation into a differential inclusion can also be reversed while at the same time preserving the essential character of the assumptions. Hence there is no essential difference in studying problems in either form. However, the differential inclusion has a simplified mathematical formulation, and indeed resembles an ordinary differential equation. It is shown that the Euler method of successive approximations from ordinary differential equation theory is applicable to set-valued problems as well. This is not so easily stated using the control formulation, but in terms of differential inclusions it can be written succinctly
date: 1989-12
date_type: published
id_number: doi:10.1109/CDC.1989.70288
official_url: http://dx.doi.org/10.1109/CDC.1989.70288
creators_browse_id: 2523
full_text_status: none
pres_type: paper
pagerange: 1057
event_title: 28th IEEE Conference on Decision and Control
event_location: Tampa, Florida
event_dates: 13-15 December 1989
event_type: conference
refereed: FALSE
book_title: Proceedings of the 28th IEEE Conference on Decision and Control
coversheets_dirty: FALSE
fp7_project: no
fp7_type: info:eu-repo/semantics/conferenceObject
citation:   Wolenski, P. <https://pure.iiasa.ac.at/view/iiasa/2523.html>  (1989).  The exponential formula for a Lipschitz differential inclusion.   DOI:10.1109/CDC.1989.70288 <https://doi.org/10.1109/CDC.1989.70288>. In: 28th IEEE Conference on Decision and Control, 13-15 December 1989, Tampa, Florida.