Synchronization of chaotic Liouvillian systems

Author

Corona-Fortunio, Dulce M G ; Martínez-Guerra, Rafael ; Mata-Machuca, Juan L.

Author_Institution

Dept. of Autom. Control, CINVESTAV-IPN, Mexico City, Mexico

fYear

2011

fDate

26-28 Oct. 2011

Firstpage

1

Lastpage

6

Abstract

In this paper we deal with the synchronization of the Chua oscillator, which is considered as a chaotic Liouvillian system. The synchronization problem is treated as an observation problem. The results of this work are based on a differential algebraic approach, which are used in order to determine observability with the measurements from the system, this strategy consists of proposing a polynomial observer (slave system) which tends to follow exponentially the chaotic oscillator (master system).

Keywords

differential algebraic equations; nonlinear systems; observability; observers; polynomials; Chua oscillator synchronization; chaotic Liouvillian system synchronization; chaotic oscillator; differential algebraic approach; master system; observability; observation problem; polynomial observer; slave system; Chaotic communication; Couplings; Observers; Oscillators; Polynomials; Synchronization; Chua´s oscillator; Synchronization; chaotic Liouvillian systems; exponential polynomial observer;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical Engineering Computing Science and Automatic Control (CCE), 2011 8th International Conference on

Conference_Location

Merida City

Print_ISBN

978-1-4577-1011-7

Type

conf

DOI

10.1109/ICEEE.2011.6106688

Filename

6106688