Prediction of chaotic behavior

T. Oguchi; H. Nijmeijer

doi:10.1109/TCSI.2005.853396

Prediction of chaotic behavior

T. Oguchi, H. Nijmeijer

Research output: Contribution to journal › Article › Academic › peer-review

31 Citations (Scopus)

Abstract

This paper considers the prediction of chaotic behavior using a master-slave synchronization scheme. Based on the stability theory for retarded systems using a Lyapunov-Krasovskii functional, we derive a sufficient condition for perfect state prediction of the master system via a time-delayed output signal of the slave system. The obtained result is based on the delay-dependent stability of time-delay systems. In addition, we derive an upper bound of the admissible time delay by using linear matrix inequality techniques. Finally, we show the effectiveness of the proposed predictor by two numerical examples.

Original language	English
Pages (from-to)	2464-2472
Journal	IEEE Transactions on Circuits and Systems
Volume	52
Issue number	11
DOIs	https://doi.org/10.1109/TCSI.2005.853396
Publication status	Published - 2005

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10.1109/TCSI.2005.853396

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title = "Prediction of chaotic behavior",

abstract = "This paper considers the prediction of chaotic behavior using a master-slave synchronization scheme. Based on the stability theory for retarded systems using a Lyapunov-Krasovskii functional, we derive a sufficient condition for perfect state prediction of the master system via a time-delayed output signal of the slave system. The obtained result is based on the delay-dependent stability of time-delay systems. In addition, we derive an upper bound of the admissible time delay by using linear matrix inequality techniques. Finally, we show the effectiveness of the proposed predictor by two numerical examples.",

author = "T. Oguchi and H. Nijmeijer",

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language = "English",

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T1 - Prediction of chaotic behavior

AU - Oguchi, T.

AU - Nijmeijer, H.

PY - 2005

Y1 - 2005

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AB - This paper considers the prediction of chaotic behavior using a master-slave synchronization scheme. Based on the stability theory for retarded systems using a Lyapunov-Krasovskii functional, we derive a sufficient condition for perfect state prediction of the master system via a time-delayed output signal of the slave system. The obtained result is based on the delay-dependent stability of time-delay systems. In addition, we derive an upper bound of the admissible time delay by using linear matrix inequality techniques. Finally, we show the effectiveness of the proposed predictor by two numerical examples.

U2 - 10.1109/TCSI.2005.853396

DO - 10.1109/TCSI.2005.853396

M3 - Article

SN - 0098-4094

VL - 52

SP - 2464

EP - 2472

JO - IEEE Transactions on Circuits and Systems

JF - IEEE Transactions on Circuits and Systems

IS - 11

ER -

Prediction of chaotic behavior

Abstract

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