×

Impulsive synchronization of nonlinear coupled chaotic systems. (English) Zbl 1134.37367

Summary: The issue of impulsive synchronization of the nonlinear coupled chaotic systems is investigated. A new framework for impulsive synchronization between such chaotic systems is presented, which makes the synchronization error system a linear impulsive control system. Therefore, it is easy to derive the impulsive synchronization law. To illustrate the effectiveness of the new scheme, a numerical example is given.

MSC:

37N35 Dynamical systems in control
37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Yang, T., Impulsive control theory, (2001), Springer-Verlag Berlin
[2] Yang, T., Impulsive systems and control: theory and application, (2001), Nova Science Publishers Huntington, NY
[3] Yang, T., IEEE trans. automat. control, 44, 5, 1081, (1999)
[4] Yang, T.; Chua, L.O., IEEE trans. CAS-I, 44, 10, 976, (1997)
[5] Sun, J.T., Chaos solitons fractals, 19, 789, (2004)
[6] Sun, J.T.; Zhang, Y.P.; Wu, Q.D., IEEE trans. automat. control, 48, 5, 829, (2003)
[7] Sun, J.T.; Zhang, Y.P., Phys. lett. A, 306, 306, (2003)
[8] Grassi, G.; Mascolo, S., IEEE trans. CAS, 44, 10, 1143, (1997)
[9] Shil’nikov, L.P., Int. J. bifur. chaos, 4, 3, 489, (1999)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.