1. Arbitrary full-state hybrid projective synchronization for chaotic discrete-time systems via a scalar signal.
- Author
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Grassi, Giuseppe
- Subjects
- *
SYNCHRONIZATION , *CHAOS theory , *DISCRETE-time systems , *SCALAR field theory , *SIGNAL processing , *ATTRACTORS (Mathematics) - Abstract
In this paper we present a new projective synchronization scheme, where two chaotic (hyperchaotic) discretetime 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. [ABSTRACT FROM AUTHOR]
- Published
- 2012
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