Synchronising chaotic Chua's circuit using switching feedback control based on piecewise quadratic Lyapunov functions

Hong-Bin Zhang; Jian-Wei Xia; Yong-Bin Yu; Chuang-Yin Dang

doi:10.1088/1674-1056/19/3/030505

Author(s)

Hong-Bin Zhang
Jian-Wei Xia
Yong-Bin Yu
Chuang-Yin Dang

Detail(s)

Original language	English
Article number	30505
Journal / Publication	Chinese Physics B
Volume	19
Issue number	3
Publication status	Published - 2010

Link(s)

DOI	DOI https://doi.org/10.1088/1674-1056/19/3/030505 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-77949748417&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(091c8003-7c0b-433b-95c9-351d80a1a602).html

Abstract

This paper investigates the chaos synchronisation between two coupled chaotic Chua's circuits. The sufficient condition presented by linear matrix inequalities (LMIs) of global asymptotic synchronisation is attained based on piecewise quadratic Lyapunov functions. First, we obtain the piecewise linear differential inclusions (pwLDIs) model of synchronisation error dynamics, then we design a switching (piecewise-linear) feedback control law to stabilise it based on the piecewise quadratic Laypunov functions. Then we give some numerical simulations to demonstrate the effectiveness of our theoretical results. © 2010 Chinese Physical Society and IOP Publishing Ltd.

Research Area(s)

Chaos, Chuas circuit, Piecewise quadratic Lyapunov functions, Synchronisation

Citation Format(s)

[ RIS ] [ BibTeX ]

Synchronising chaotic Chua's circuit using switching feedback control based on piecewise quadratic Lyapunov functions. / Zhang, Hong-Bin; Xia, Jian-Wei; Yu, Yong-Bin et al.
In: Chinese Physics B, Vol. 19, No. 3, 30505, 2010.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Zhang, H-B, Xia, J-W, Yu, Y-B & Dang, C-Y 2010, 'Synchronising chaotic Chua's circuit using switching feedback control based on piecewise quadratic Lyapunov functions', Chinese Physics B, vol. 19, no. 3, 30505. https://doi.org/10.1088/1674-1056/19/3/030505

Zhang, H.-B., Xia, J.-W., Yu, Y.-B., & Dang, C.-Y. (2010). Synchronising chaotic Chua's circuit using switching feedback control based on piecewise quadratic Lyapunov functions. Chinese Physics B, 19(3), Article 30505. https://doi.org/10.1088/1674-1056/19/3/030505

Zhang HB, Xia JW, Yu YB, Dang CY. Synchronising chaotic Chua's circuit using switching feedback control based on piecewise quadratic Lyapunov functions. Chinese Physics B. 2010;19(3):30505. doi: 10.1088/1674-1056/19/3/030505

Zhang, Hong-Bin ; Xia, Jian-Wei ; Yu, Yong-Bin et al. / Synchronising chaotic Chua's circuit using switching feedback control based on piecewise quadratic Lyapunov functions. In: Chinese Physics B. 2010 ; Vol. 19, No. 3.