Global asymptotical synchronization of chaotic Lur'e systems using sampled data: A linear matrix inequality approach

J. G. Lu; David J. Hill

doi:10.1109/TCSII.2007.916788

Global asymptotical synchronization of chaotic Lur'e systems using sampled data: A linear matrix inequality approach

J. G. Lu^*, David J. Hill

^*Corresponding author for this work

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

139 Citations (Scopus)

Abstract

Sampled-data feedback control for master-slave synchronization schemes that consist of identical chaotic Lur'e systems is studied. Sufficient conditions for global asymptotic synchronization of such chaotic Lur'e systems are obtained using the free-weighting matrix approach and expressed in terms of linear matrix inequalities (LMIs). With the help of the LMI solvers, the sampled-data feedback control law can easily be obtained to globally asymptotically synchronize Lur'e chaotic systems. The effectiveness of the proposed method is finally illustrated via numerical simulations of chaotic Chua's circuits.

Original language	English
Pages (from-to)	586-590
Number of pages	5
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
Volume	55
Issue number	6
DOIs	https://doi.org/10.1109/TCSII.2007.916788
Publication status	Published - Jun 2008

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10.1109/TCSII.2007.916788

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title = "Global asymptotical synchronization of chaotic Lur'e systems using sampled data: A linear matrix inequality approach",

abstract = "Sampled-data feedback control for master-slave synchronization schemes that consist of identical chaotic Lur'e systems is studied. Sufficient conditions for global asymptotic synchronization of such chaotic Lur'e systems are obtained using the free-weighting matrix approach and expressed in terms of linear matrix inequalities (LMIs). With the help of the LMI solvers, the sampled-data feedback control law can easily be obtained to globally asymptotically synchronize Lur'e chaotic systems. The effectiveness of the proposed method is finally illustrated via numerical simulations of chaotic Chua's circuits.",

keywords = "Chaos, Linear matrix inequality (LMI), Lur'e system, Sampled-data control, Synchronization",

author = "Lu, {J. G.} and Hill, {David J.}",

year = "2008",

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doi = "10.1109/TCSII.2007.916788",

language = "English",

volume = "55",

pages = "586--590",

journal = "IEEE Transactions on Circuits and Systems II: Express Briefs",

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publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "6",

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TY - JOUR

T1 - Global asymptotical synchronization of chaotic Lur'e systems using sampled data

T2 - A linear matrix inequality approach

AU - Lu, J. G.

AU - Hill, David J.

PY - 2008/6

Y1 - 2008/6

N2 - Sampled-data feedback control for master-slave synchronization schemes that consist of identical chaotic Lur'e systems is studied. Sufficient conditions for global asymptotic synchronization of such chaotic Lur'e systems are obtained using the free-weighting matrix approach and expressed in terms of linear matrix inequalities (LMIs). With the help of the LMI solvers, the sampled-data feedback control law can easily be obtained to globally asymptotically synchronize Lur'e chaotic systems. The effectiveness of the proposed method is finally illustrated via numerical simulations of chaotic Chua's circuits.

AB - Sampled-data feedback control for master-slave synchronization schemes that consist of identical chaotic Lur'e systems is studied. Sufficient conditions for global asymptotic synchronization of such chaotic Lur'e systems are obtained using the free-weighting matrix approach and expressed in terms of linear matrix inequalities (LMIs). With the help of the LMI solvers, the sampled-data feedback control law can easily be obtained to globally asymptotically synchronize Lur'e chaotic systems. The effectiveness of the proposed method is finally illustrated via numerical simulations of chaotic Chua's circuits.

KW - Chaos

KW - Linear matrix inequality (LMI)

KW - Lur'e system

KW - Sampled-data control

KW - Synchronization

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U2 - 10.1109/TCSII.2007.916788

DO - 10.1109/TCSII.2007.916788

M3 - Article

SN - 1549-7747

VL - 55

SP - 586

EP - 590

JO - IEEE Transactions on Circuits and Systems II: Express Briefs

JF - IEEE Transactions on Circuits and Systems II: Express Briefs

IS - 6

ER -

Global asymptotical synchronization of chaotic Lur'e systems using sampled data: A linear matrix inequality approach

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