On positive invariance for delay difference equations

W. Lombardi, S. Olaru, M. Lazar, S-I. Niculescu

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

22 Citations (Scopus)


In this paper a new concept of set invariance, called D-invariance, is introduced for dynamical systems described by delay difference equations. We will be interested in the definition and computation of such invariant sets in a specified bounded region of the state-space. The Minkowski algebra will be used to define mappings over the set of compact sets in direct relationship with the invariance of time-delay systems. Set-iterates based on these mappings can be used for the construction of a non-decreasing sequence of D-invariant sets.
Original languageEnglish
Title of host publicationProceedings of the the 2011 American Control Conference (ACC 2011), June 29 - July 1, 2011, San Francisco, California
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Publication statusPublished - 2011


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