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Adaptive synchronization and antisynchronization of a hyperchaotic complex Chen system with unknown parameters based on passive control. (English) Zbl 1266.93087

Summary: This paper investigates the synchronization and antisynchronization problems of a hyperchaotic complex Chen system with unknown parameters based on the properties of a passive system. The essential conditions are derived under which the synchronization or antisynchronization error dynamical system could be equivalent to a passive system and be globally asymptotically stabilized at a zero equilibrium point via smooth state feedback. Corresponding parameter estimation update laws are obtained to estimate the unknown parameters as well. Numerical simulations verify the effectiveness of the theoretical analysis.

MSC:

93C40 Adaptive control/observation systems
34D06 Synchronization of solutions to ordinary differential equations
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