A linear feedback synchronization theorem for a class of chaotic systems

A new synchronization theorem for a class of chaotic systems is presented in this paper. We take the last state variable of drive system as the driving scalar signal. Its linear feedback gain is a function of a free parameter. It is also proved that the global synchronization can be attained through simple linear output error feedback. This approach is illustrated by Chua's circuit and a 4D hyperchaotic system. (C) 2001 Elsevier Science Ltd. All rights reserved.