The focus of this paper is on the null controllability of two kinds of
coupled systems including both degenerate and non-degenerate equations with
switching control. We first establish the observability inequality for
measurable subsets in time for such coupled system, and then by the HUM method
to obtain the null controllability. Next, we investigate the null
controllability of such coupled system for segmented time intervals. Notably,
these results are obtained through spectral inequalities rather than using the
method of Carleman estimates. Such coupled systems with switching control, to
the best of our knowledge, are among the first to discuss