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

作者：Grassi Giuseppe^*

来源：Chinese Physics B, 2012, 21(6): 060504.

DOI：10.1088/1674-1056/21/6/060504

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

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.

• 出版日期2012-6