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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.

MSC:

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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