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Suppression of noises is studied for the open-loop-closed-loop (OPCL) coupling systems between the driver and response systems. In OPCL coupling systems, the error signal of noise is found to be suppressed and shows bounds. The error signal can be decreased exponentially by enlarging the absolute value of the eigen values' real part of the Hurwitz matrix. A method is provided to reduce the error signal sufficiently and achieve complete synchronization (CS) effectively for the OPCL coupling systems under noises. Based on this method, three numerical examples are reported in this paper.

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