Observer-based exact synchronization of ideal and mismatched chaotic systems. (English) Zbl 1010.37016
Summary: An observer-based chaotic synchronization scheme is proposed. Our method concerns chaotic systems having special triangular form. Using the sliding mode theory, the synchronization of the response system with the drive system is achieved in finite time. An application to secure chaotic communication is also proposed. To demonstrate the efficiency of the proposed scheme, two well-known chaotic systems: Lur’e-like system and Duffing equation are considered as illustrative examples.
MSC:
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
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