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Dead-beat full state hybrid projective synchronization for chaotic maps using a scalar synchronizing signal. (English) Zbl 1239.93066
Summary: This paper provides a contribution to the topic of Full State Hybrid Projective Synchronization (FSHPS) by introducing an observer-based approach that enables synchronization to be achieved via a scalar synchronizing signal. The method is based on a theorem that assures dead-beat synchronization (i.e., exact synchronization in finite time) to a wide class of discrete-time chaotic (hyperchaotic) systems. Two examples, involving the hyperchaotic Grassi-Miller map and the hyperchaotic double scroll map, show that FSHPS can be effectively achieved in finite time using a scalar synchronizing signal only.

93C55Discrete-time control systems
Full Text: DOI
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