Title :
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
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;
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
DOI :
10.1109/ICEEE.2011.6106688
