Abstract
In the Floquet representation theorem, a state transition matrix whose second argument is 0 is represented as a product of a real-valued periodic matrix function and a real-valued matrix exponential function. In contrast, we have proposed a novel representation as a product of a real-valued periodic matrix function and two real-valued matrix exponential functions. In this note, the structure of the previously proposed representation is intensively investigated in terms of the maximum parametrization.
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