On the characterisation of stability by means of time-delayed feedback control

H.J.C. Huijberts, W. Michiels, H. Nijmeijer

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1 Citation (Scopus)

Abstract

In this paper we consider the stabilizability of nonlinear dynamical systems via time-delayed state and output feedback control. Based on an eigenvalue optimisation approach in combination with a continuation argument and a result characterising properties of the optimum eigenvalue configurations, we obtain explicit expressions for stabilizability boundaries for two-dimensional systems. As time-delayed feedback can be used to approximate derivative feedback, we also give a comparison of the stabilizability via both types of feedback.
Original languageEnglish
Title of host publicationProceedings of the 47th IEEE Conference on Decision and Control (CDC 2008) : Mexico, Cancún, 9 - 11 December 2008
Place of PublicationPiscataway, NJ
PublisherInstitute of Electrical and Electronics Engineers
Pages5280-5285
ISBN (Print)978-1-424-43123-6
DOIs
Publication statusPublished - 2008

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