Abstract
This paper considers a cascade (series) connection of N chaotic discrete-time drive systems and N response systems, where the perturbation of the first drive system affects the dynamics of each succeeding drive system. The perturbation of the first drive system is considered as a system input. This paper develops a proposition that assures that a cascade of N response (observer) systems can achieve dead-beat synchronization (i.e. exact synchronization in finite time) between the nth drive and nth response systems, with synchronization starting from the innermost (Nth) drive-response system pair and propagating toward the outermost (first) drive-response system pair. Only a single scalar synchronizing signal connects the cascaded drive and cascaded response systems. This "propagated synchronization" enables the proposed series connection of observers to recover the initial (input) and all subsequent drive system perturbations. A potential application in communication systems is explored.
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