  Inspired by a new compilation of strong lensing systems, which consist of 204
points in the redshift range $0.0625< z_{l} < 0.958$ for the lens and $0.196<
z_{s} < 3.595$ for the source, we constrain three models that generate a late
cosmic acceleration: the $\omega$-cold dark matter model, the
Chevallier-Polarski-Linder and the Jassal-Bagla-Padmanabhan parametrizations.
Our compilation contains only those systems with early type galaxies acting as
lenses, with spectroscopically measured stellar velocity dispersions, estimated
Einstein radius, and both the lens and source redshifts. We assume an axially
symmetric mass distribution in the lens equation, using a correction to
alleviate differences between the measured velocity dispersion ($\sigma$) and
the dark matter halo velocity dispersion ($\sigma_{DM}$) as well as other
systematic errors that may affect the measurements. We have considered
different sub-samples to constrain the cosmological parameters of each model.
Additionally, we generate a mock data of SLS to asses the impact of the chosen
mass profile on the accuracy of Einstein radius estimation. Our results show
that cosmological constraints are very sensitive to the selected data: some
cases show convergence problems in the estimation of cosmological parameters
(e.g. systems with observed distance ratio $D^{obs}<0.5$), others show high
values for the chi-square function (e.g. systems with a lens equation $D^{obs}
>1$ or high velocity dispersion $\sigma > 276$ km s$^{-1}$). However, we
obtained a fiduciary sample with 143 systems which improves the constraints on
each tested cosmological model.
