Global asymptotic stabilization for chains of integrators with a delay in the input

The problem of global uniform asymptotic stabilization by bounded feedback of a chain of integrators with a delay in the input is solved. No limitation on the size of the delay is imposed. We have restricted our attention on the problem of stabilizing by bounded feedback a chain of integrators of dimension n with an arbitrary delay in the input. However, we conjecture that the main result of our work can be easily extended to larger class of systems and in particular to linear null-controllable systems and the family of nonlinear systems termed strict feedforward systems