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The DXHS algorithm was proposed as an active noise control method and is often referred to as an adaptive method. This paper shows that the DXHS algorithm is a dynamical system that is equivalent to a passive internal model for sinusoidal signals. It follows that the disturbance attenuation ability is a consequence of the internal model principle, although the DXHS algorithm is proposed based on the standard way of thinking for adaptive methods. Moreover, the closed-loop system stability is guaranteed for strictly passive secondary paths.