  We present a dynamical system formulation for inhomogeneous LRS-II spacetimes
using the covariant 1+1+2 decomposition approach. Our approach describes the
LRS-II dynamics from the point of view of a comoving observer. Promoting the
covariant radial derivatives of the covariant dynamical quantities to new
dynamical variables and utilizing the commutation relation between the
covariant temporal and radial derivatives, we were able to construct an
autonomous system of first-order ordinary differential equations along with
some purely algebraic constraints. Using our dynamical system formulation we
found several interesting features in the LRS-II phase space with dust, one of
them being that the homogeneous solutions constitute an invariant submanifold.
For the particular case of LTB, we were also able to recover the previously
known result that an expanding LTB tends to Milne in the absence of a
cosmological constant, providing a potential validation of our formalism.
