Stabilizability via time-delayed feedback: An eigenvalue optimization approach

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

doi:10.1137/070708767

Stabilizability via time-delayed feedback: An eigenvalue optimization approach

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

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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 language	English
Pages (from-to)	1-20
Journal	SIAM Journal on Applied Dynamical Systems
Volume	8
Issue number	1
DOIs	https://doi.org/10.1137/070708767
Publication status	Published - 2009

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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. {\textcopyright} 2009 Society for Industrial and Applied Mathematics.",

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AB - 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.

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M3 - Article

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JO - SIAM Journal on Applied Dynamical Systems

JF - SIAM Journal on Applied Dynamical Systems

IS - 1

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Stabilizability via time-delayed feedback: An eigenvalue optimization approach

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