Based on the Lyapunov synthesis approach, several adaptive neural cont
rol schemes have been developed during the last few years. So far, the
se schemes have been applied only to simple classes of nonlinear syste
ms. This paper develops a design methodology that expands the class of
nonlinear systems that adaptive neural control schemes can be applied
to and relaxes some of the restrictive assumptions that are usually m
ade. One such assumption is the requirement of a known bound on the ne
twork reconstruction error. The overall adaptive scheme is shown to gu
arantee semiglobal uniform ultimate boundedness. The proposed feedback
control law is a smooth function of the state.