Arbitrary full-state hybrid projective synchronization for chaotic discrete-time systems via a scalar signal

doi:10.1088/1674-1056/21/6/060504

Abstract In this paper we present a new projective synchronization scheme, where two chaotic (hyperchaotic) discrete-time systems synchronize for any arbitrary scaling matrix. Specifically, each drive system state synchronizes with a linear combination of response system states. The proposed observer-based approach presents some useful features: i) it enables {exact} synchronization to be achieved in finite time (i.e., {dead-beat} synchronization); ii) it exploits a {scalar} synchronizing signal; iii) it can be applied to a {wide} class of discrete-time chaotic (hyperchaotic) systems; iv) it includes, as a particular case, most of the synchronization types defined so far. An example is reported, which shows in detail that exact synchronization is effectively achieved in finite time, using a scalar synchronizing signal only, for any arbitrary scaling matrix.

Keywords: chaos synchronization full-state hybrid projective synchronization observer-based synchronization chaotic discrete-time systems dead beat control attractor scaling

Received: 06 September 2011
Revised: 12 October 2011
Accepted manuscript online:

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	05.45.Xt	(Synchronization; coupled oscillators)

Corresponding Authors: Giuseppe Grassi
E-mail: giuseppe.grassi@unisalento.it

Cite this article:

Giuseppe Grassi Arbitrary full-state hybrid projective synchronization for chaotic discrete-time systems via a scalar signal 2012 Chin. Phys. B 21 060504

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Arbitrary full-state hybrid projective synchronization for chaotic discrete-time systems via a scalar signal

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