On Controlled - Invariance and Stabilization of Time - Delay Systems

N. Athanasopoulos, M. Lazar

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

3 Citations (Scopus)


A non-conservative synthesis approach for discrete-time linear time-delay systems is presented, induced by a relaxed notion of invariance, namely, controlled (k, ¿)-D-contractiveness. We characterize two particular families of controlled (k, ¿)-contractive sets in the augmented state space of the corresponding delay-free system and establish their relationship to controlled (k, ¿)-D-contractive sets of the time-delay system. The required computations for both the controller synthesis and controller implementation are carried in the state space of the time-delay system, making the method scalable with respect to the maximum delay.
Original languageEnglish
Title of host publication2014 European Control Conference (ECC) 24-27 June 2014, Strasbourg, France
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
ISBN (Print)978-3-9524269-1-3
Publication statusPublished - 2014
Event13th European Control Conference, ECC 2014 - University of Strasbourg, Strasbourg, France
Duration: 24 Jun 201427 Jun 2014
Conference number: 13


Conference13th European Control Conference, ECC 2014
Abbreviated titleECC 2014
Other2014 European Control Conference
Internet address


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