Observer-based control for full-state projective synchronization of a general class of chaotic maps in any dimension. (English) Zbl 1123.37326

Summary: An observer-based control approach is proposed for generating and manipulating projective synchronization of a general class of chaotic maps in any dimension. The proposed approach overcomes some limitations in extent work, capable to execute the control for chaotic systems without restriction of partial-linearity, achieve a full-state synchronization and manipulate the outcome of the synchronization by directing the scaling factor. The feasibility of the control is illustrated on a generalized Hénon map and a second-order map. We also show that the control scheme is robust in presence of noise.


37M10 Time series analysis of dynamical systems
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37N35 Dynamical systems in control
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