— We provide new globally stabilizing backstepping controls for single input systems in a partially linear form. Instead of measuring the full state, our feedbacks use current and several time lagged values of a function of the state of the nonlinear subsystem, and have no distributed terms. Other possible advantages are that we do not require differentiability of the available nominal controls for the nonlinear subsystems, and that our controls do not contain Lie derivatives. We also allow input delays. This improves on our earlier work on the special case where the linear part has one integrator, since we now allow an arbitrary number of integrators.