Time-stepping methods for constructing periodic solutions in maximally monotone set-valued dynamical systems

W.P.M.H. Heemels, V. Sessa, F. Vasca, M.K. Camlibel

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

1 Citation (Scopus)

Abstract

In this paper we study a class of set-valued dynamical systems that satisfy maximal monotonicity properties. This class includes linear relay systems, linear complementarity systems, and linear mechanical systems with dry friction under certain conditions. We discuss two numerical time-stepping schemes for the computation of periodic solutions of these systems when being periodically excited. For these two schemes we will provide formal mathematical justifications and compare them in terms of approximation accuracy and computation time using a numerical example.

Original languageEnglish
Title of host publication53rd IEEE Conference on Decision and Control, December 15-17, 2014, Los Angeles, CA, USA
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages3095-3100
Number of pages6
ISBN (Electronic)978-1-4673-6090-6
ISBN (Print) 978-1-4799-7746-8
DOIs
Publication statusPublished - 2014
Event53rd IEEE Conference on Decision and Control (CDC2014) - "J.W. Marriott Hotel", Los Angeles, United States
Duration: 15 Dec 201417 Dec 2014
Conference number: 53
http://cdc2014.ieeecss.org/

Conference

Conference53rd IEEE Conference on Decision and Control (CDC2014)
Abbreviated titleCDC2014
Country/TerritoryUnited States
CityLos Angeles
Period15/12/1417/12/14
Internet address

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