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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:
37M10Time series analysis (dynamical systems)
37D45Strange attractors, chaotic dynamics
37N35Dynamical systems in control