Pulse synchronization of sampled-data chaotic systems

Sang Hoon Lee; Vikram Kapila; Maurizio Porfiri

doi:10.1109/ACC.2008.4586544

Pulse synchronization of sampled-data chaotic systems

Sang Hoon Lee, Vikram Kapila, Maurizio Porfiri

Mechanical and Aerospace Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this paper, we consider the problem of pulse synchronization of a master-slave chaotic system in the sampled-data setting. We begin by developing a pulse-based intermittent control system for chaos synchronization. Using the discrete-time Lyapunov stability theory and the linear matrix inequality (LMI) framework, we construct a state feedback periodic pulse control law which yields global asymptotic synchronization of the sampled-data master-slave chaotic system for arbitrary initial conditions. Finally, we provide an experimental validation of our results by implementing, on a set of microcontrollers endowed with RF communication capability, a sampled-data master-slave chaotic system based on Chua's circuit.

Original language	English (US)
Title of host publication	2008 American Control Conference, ACC
Pages	523-529
Number of pages	7
DOIs	https://doi.org/10.1109/ACC.2008.4586544
State	Published - 2008
Event	2008 American Control Conference, ACC - Seattle, WA, United States Duration: Jun 11 2008 → Jun 13 2008

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Other

Other	2008 American Control Conference, ACC
Country/Territory	United States
City	Seattle, WA
Period	6/11/08 → 6/13/08

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/ACC.2008.4586544

Cite this

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title = "Pulse synchronization of sampled-data chaotic systems",

abstract = "In this paper, we consider the problem of pulse synchronization of a master-slave chaotic system in the sampled-data setting. We begin by developing a pulse-based intermittent control system for chaos synchronization. Using the discrete-time Lyapunov stability theory and the linear matrix inequality (LMI) framework, we construct a state feedback periodic pulse control law which yields global asymptotic synchronization of the sampled-data master-slave chaotic system for arbitrary initial conditions. Finally, we provide an experimental validation of our results by implementing, on a set of microcontrollers endowed with RF communication capability, a sampled-data master-slave chaotic system based on Chua's circuit.",

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doi = "10.1109/ACC.2008.4586544",

language = "English (US)",

isbn = "9781424420797",

series = "Proceedings of the American Control Conference",

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T1 - Pulse synchronization of sampled-data chaotic systems

AU - Lee, Sang Hoon

AU - Kapila, Vikram

AU - Porfiri, Maurizio

PY - 2008

Y1 - 2008

N2 - In this paper, we consider the problem of pulse synchronization of a master-slave chaotic system in the sampled-data setting. We begin by developing a pulse-based intermittent control system for chaos synchronization. Using the discrete-time Lyapunov stability theory and the linear matrix inequality (LMI) framework, we construct a state feedback periodic pulse control law which yields global asymptotic synchronization of the sampled-data master-slave chaotic system for arbitrary initial conditions. Finally, we provide an experimental validation of our results by implementing, on a set of microcontrollers endowed with RF communication capability, a sampled-data master-slave chaotic system based on Chua's circuit.

AB - In this paper, we consider the problem of pulse synchronization of a master-slave chaotic system in the sampled-data setting. We begin by developing a pulse-based intermittent control system for chaos synchronization. Using the discrete-time Lyapunov stability theory and the linear matrix inequality (LMI) framework, we construct a state feedback periodic pulse control law which yields global asymptotic synchronization of the sampled-data master-slave chaotic system for arbitrary initial conditions. Finally, we provide an experimental validation of our results by implementing, on a set of microcontrollers endowed with RF communication capability, a sampled-data master-slave chaotic system based on Chua's circuit.

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DO - 10.1109/ACC.2008.4586544

M3 - Conference contribution

AN - SCOPUS:52449122121

SN - 9781424420797

T3 - Proceedings of the American Control Conference

SP - 523

EP - 529

BT - 2008 American Control Conference, ACC

T2 - 2008 American Control Conference, ACC

Y2 - 11 June 2008 through 13 June 2008

ER -

Pulse synchronization of sampled-data chaotic systems

Abstract

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