eprintid: 476
rev_number: 12
eprint_status: archive
userid: 7
dir: disk0/00/00/04/76
datestamp: 2011-07-27 08:35:37
lastmod: 2012-03-02 15:26:02
status_changed: 2011-07-27 08:35:37
type: article
metadata_visibility: show
contact_email: alberto.bemporad@imtlucca.it
item_issues_count: 0
creators_name: Bemporad, Alberto
creators_name: Bianchini, Gianni
creators_name: Brogi, Filippo
creators_id: alberto.bemporad@imtlucca.it
creators_id: 
creators_id: 
title: Passivity analysis and passification of discrete-time hybrid systems
ispublished: pub
subjects: QA
subjects: QA75
divisions: CSA
full_text_status: none
keywords: PWP storage functions; discrete-time hybrid systems; interconnected heterogeneous dynamical systems; linear matrix inequality; passivity analysis; piece-wise polynomial form; piecewise affine form; piecewise quadratic; standard semidefinite programming packages; sum of squares decomposition methods; discrete time systems; piecewise polynomial techniques.
abstract: For discrete-time hybrid systems in piecewise affine or piece-wise polynomial (PWP) form, this note proposes sufficient passivity analysis and synthesis criteria based on the computation of piecewise quadratic or PWP storage functions. By exploiting linear matrix inequality techniques and sum of squares decomposition methods, passivity analysis and synthesis of passifying controllers can be carried out through standard semidefinite programming packages, providing a tool particularly important for stability of interconnected heterogeneous dynamical systems.
date: 2008-05
date_type: published
publication: IEEE Transactions on Automatic Control 
volume: 54
number: 4
publisher: IEEE 
pagerange: 1004-1009
id_number: 10.1109/TAC.2008.919564
refereed: TRUE
issn: 0018-9286
official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4522602&isnumber=4522599
citation:   Bemporad, Alberto and Bianchini, Gianni and Brogi, Filippo  Passivity analysis and passification of discrete-time hybrid systems.  IEEE Transactions on Automatic Control , 54 (4).  pp. 1004-1009.  ISSN 0018-9286      (2008)