  In this paper we discuss a cosmological model for a universe with
self-regulating features. We set up the theoretical framework for the model and
determine the time evolution of the scale-factor $a(t)$. It is shown that such
a universe repeatedly goes through alternate periods of matter and dark energy
domination. The resulting dynamics oscillates about the would-be ideal
time-linear or coasting path, with monotonic expansion. When compared to
dynamics of the observed physical Universe, the model recovers the
observationally-established evolutionary features of the latter, from the big
bang to the current acceleration, and farther. It suggests a universe that
initially emerges from a non-singular state, associated with a non-inflationary
acceleration, and which acceleration it exits naturally with matter-energy
generation. The model does not have a horizon problem or a flatness problem. It
reproduces the observed current values of standard cosmic parameters, including
the age $t_{0}$, the current Hubble parameter $H_{0}$ and dark energy
$\Omega_{de}\ $and matter $\Omega_{m}$ density parameters. We find the dark
matter density-profile generated by the model naturally leads to flat rotation
curves in galaxy halos. The model is falsifiable. It makes predictions that can
be tested, as suggested. Finally, we discuss the dimensionless age
$(H_{0}t_{0}\simeq1)$ paradox as an example of the model's ability to address
standing puzzles. The findings suggest dynamics of the physical Universe may be
self-regulating and predictable.
