Stabilizability via time-delayed feedback: An eigenvalue optimization approach

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

Research output: Contribution to journalArticleAcademicpeer-review

8 Citations (Scopus)
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Abstract

In this paper we consider the stabilizability of dynamical systems via time-delayed state and output feedback control. Based on an eigenvalue optimization approach in combination with a continuation argument and a result characterizing 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. © 2009 Society for Industrial and Applied Mathematics.
Original languageEnglish
Pages (from-to)1-20
JournalSIAM Journal on Applied Dynamical Systems
Volume8
Issue number1
DOIs
Publication statusPublished - 2009

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