A passivity based synchronization between two different chaotic systems

Choon Ki Ahn, Sung Tae Jung, Su Chong Joo

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

In this paper, we propose a new passivity-based synchronization method for two different chaotic systems. Based on Lyapunov stability theory and linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system between two different chaotic systems not only passive but also asymptotically stable. It is shown that the proposed controller can be obtained by solving the LMI, which can be easily facilitated by using some standard numerical packages. As an application of the proposed method, the synchronization problem between Rossler system and Genesio-Tesi system is investigated.

Original languageEnglish
Pages (from-to)287-292
Number of pages6
JournalInternational Journal of Physical Sciences
Volume5
Issue number4
Publication statusPublished - 2010 Apr 1
Externally publishedYes

Fingerprint

Chaotic systems
passivity
synchronism
Synchronization
Linear matrix inequalities
controllers
Controllers

Keywords

  • Linear matrix inequality (LMI)
  • Lyapunov stability theory
  • Passivity-based synchronization
  • Two different chaotic systems

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Electronic, Optical and Magnetic Materials

Cite this

A passivity based synchronization between two different chaotic systems. / Ahn, Choon Ki; Jung, Sung Tae; Joo, Su Chong.

In: International Journal of Physical Sciences, Vol. 5, No. 4, 01.04.2010, p. 287-292.

Research output: Contribution to journalArticle

@article{da89d1d8acfa4d919345b32d2392215d,
title = "A passivity based synchronization between two different chaotic systems",
abstract = "In this paper, we propose a new passivity-based synchronization method for two different chaotic systems. Based on Lyapunov stability theory and linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system between two different chaotic systems not only passive but also asymptotically stable. It is shown that the proposed controller can be obtained by solving the LMI, which can be easily facilitated by using some standard numerical packages. As an application of the proposed method, the synchronization problem between Rossler system and Genesio-Tesi system is investigated.",
keywords = "Linear matrix inequality (LMI), Lyapunov stability theory, Passivity-based synchronization, Two different chaotic systems",
author = "Ahn, {Choon Ki} and Jung, {Sung Tae} and Joo, {Su Chong}",
year = "2010",
month = "4",
day = "1",
language = "English",
volume = "5",
pages = "287--292",
journal = "International Journal of Physical Sciences",
issn = "1992-1950",
publisher = "Academic Journals",
number = "4",

}

TY - JOUR

T1 - A passivity based synchronization between two different chaotic systems

AU - Ahn, Choon Ki

AU - Jung, Sung Tae

AU - Joo, Su Chong

PY - 2010/4/1

Y1 - 2010/4/1

N2 - In this paper, we propose a new passivity-based synchronization method for two different chaotic systems. Based on Lyapunov stability theory and linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system between two different chaotic systems not only passive but also asymptotically stable. It is shown that the proposed controller can be obtained by solving the LMI, which can be easily facilitated by using some standard numerical packages. As an application of the proposed method, the synchronization problem between Rossler system and Genesio-Tesi system is investigated.

AB - In this paper, we propose a new passivity-based synchronization method for two different chaotic systems. Based on Lyapunov stability theory and linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system between two different chaotic systems not only passive but also asymptotically stable. It is shown that the proposed controller can be obtained by solving the LMI, which can be easily facilitated by using some standard numerical packages. As an application of the proposed method, the synchronization problem between Rossler system and Genesio-Tesi system is investigated.

KW - Linear matrix inequality (LMI)

KW - Lyapunov stability theory

KW - Passivity-based synchronization

KW - Two different chaotic systems

UR - http://www.scopus.com/inward/record.url?scp=77954731549&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77954731549&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:77954731549

VL - 5

SP - 287

EP - 292

JO - International Journal of Physical Sciences

JF - International Journal of Physical Sciences

SN - 1992-1950

IS - 4

ER -