Asymptotic convergence from L/sub p/ stability

This note recalls that an absolutely continuous function having a uniformly locally integrable (not necessarily essentially bounded) derivative is uniformly continuous on the semi-infinite interval. This observation, in conjunction with Barbalat's lemma, allows concluding asymptotic convergence to zero of an output function for a general class of nonlinear systems with L/sub p/ (not necessarily L/sub /spl infin//) disturbances.