eprintid: 2730
rev_number: 8
eprint_status: archive
userid: 69
dir: disk0/00/00/27/30
datestamp: 2015-07-24 12:44:02
lastmod: 2016-04-13 08:34:53
status_changed: 2015-07-24 12:44:02
type: article
metadata_visibility: show
creators_name: Tschaikowski, Max
creators_name: Tribastone, Mirco
creators_id: max.tschaikowski@imtlucca.it
creators_id: mirco.tribastone@imtlucca.it
title: Approximate reduction of heterogenous nonlinear models with differential hulls
ispublished: pub
subjects: QA75
divisions: CSA
full_text_status: public
abstract: We present a model reduction technique for a class of nonlinear ordinary differential equation (ODE) models of heterogeneous systems, where heterogeneity is expressed in terms of classes of state variables having the same dynamics structurally, but which are characterized by distinct parameters. To this end, we first build a system of differential inequalities that provides lower and upper bounds for each original state variable, but such that it is homogeneous in its parameters. Then, we use two methods for exact aggregation of ODEs to exploit this homogeneity, yielding a smaller model of size independent of the number of heterogeneous classes. We apply this technique to two case studies: a multiclass queuing network and a model of epidemics spread.
date: 2016
date_type: published
publication: IEEE Transactions on Automatic Control
volume: 61
number: 4
publisher: IEEE
pagerange: 1099-1104
id_number: 10.1109/TAC.2015.2457172
refereed: TRUE
issn: 0018-9286
official_url: http://dx.doi.org/10.1109/TAC.2015.2457172
citation:   Tschaikowski, Max and Tribastone, Mirco  Approximate reduction of heterogenous nonlinear models with differential hulls.  IEEE Transactions on Automatic Control, 61 (4).  pp. 1099-1104.  ISSN 0018-9286      (2016)  
document_url: http://eprints.imtlucca.it/2730/1/tac_differential_hull.pdf