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

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

doi:10.1109/CDC.2008.4738702

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

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

1 Citation (Scopus)

2 Downloads (Pure)

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 language	English
Title of host publication	Proceedings of the 47th IEEE Conference on Decision and Control (CDC 2008) : Mexico, Cancún, 9 - 11 December 2008
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers
Pages	5280-5285
ISBN (Print)	978-1-424-43123-6
DOIs	https://doi.org/10.1109/CDC.2008.4738702
Publication status	Published - 2008

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10.1109/CDC.2008.4738702

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title = "On the characterisation of stability by means of time-delayed feedback control",

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.",

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Huijberts, HJC, Michiels, W & Nijmeijer, H 2008, On the characterisation of stability by means of time-delayed feedback control. in Proceedings of the 47th IEEE Conference on Decision and Control (CDC 2008) : Mexico, Cancún, 9 - 11 December 2008. Institute of Electrical and Electronics Engineers, Piscataway, NJ, pp. 5280-5285. https://doi.org/10.1109/CDC.2008.4738702

On the characterisation of stability by means of time-delayed feedback control. / Huijberts, H.J.C.; Michiels, W.; Nijmeijer, H.
Proceedings of the 47th IEEE Conference on Decision and Control (CDC 2008) : Mexico, Cancún, 9 - 11 December 2008. Piscataway, NJ: Institute of Electrical and Electronics Engineers, 2008. p. 5280-5285.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AU - Michiels, W.

AU - Nijmeijer, H.

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

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DO - 10.1109/CDC.2008.4738702

M3 - Conference contribution

SN - 978-1-424-43123-6

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EP - 5285

BT - Proceedings of the 47th IEEE Conference on Decision and Control (CDC 2008) : Mexico, Cancún, 9 - 11 December 2008

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway, NJ

ER -

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

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