From Lipschitzian to non-Lipschitzian characteristics : continuity of behaviors

M.K. Camlibel, M.K.K. Cevik, W.P.M.H. Heemels

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

6 Citations (Scopus)

Abstract

Linear complementarity systems are used to model discontinuous dynamical systems such as networks with ideal diodes and mechanical systems with unilateral constraints. In these systems mode changes are modeled by a relation between nonnegative, complementarity variables. We consider approximating systems obtained by replacing this non-Lipschitzian relation with a Lipschitzian function and investigate the convergence of the solutions of the approximating system to those of the ideal system as the Lipschitzian characteristic approaches to the (non-Lipschitzian) complementarity relation. It is shown that this kind of convergence holds for linear passive complementarity systems for which solutions are known to exist and to be unique. Moreover, this result is extended to systems that can be made passive by pole shifting
Original languageEnglish
Title of host publicationProceedings of the 39th IEEE conference on decision and control, Sydney, Australia, December 2000, vol. 5
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages4373-4378
ISBN (Print)0-7803-6638-7
DOIs
Publication statusPublished - 2000
Event39th IEEE Conference on Decision and Control (CDC 2000) - Sydney, Australia
Duration: 12 Dec 200015 Dec 2000

Conference

Conference39th IEEE Conference on Decision and Control (CDC 2000)
Abbreviated titleCDC 2000
CountryAustralia
CitySydney
Period12/12/0015/12/00
Other

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    Camlibel, M. K., Cevik, M. K. K., & Heemels, W. P. M. H. (2000). From Lipschitzian to non-Lipschitzian characteristics : continuity of behaviors. In Proceedings of the 39th IEEE conference on decision and control, Sydney, Australia, December 2000, vol. 5 (pp. 4373-4378). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC.2001.914593