An adaptive control design procedure for a class of nonlinear systems
with both parametric uncertainty and unknown nonlinearities is present
ed. The unknown nonlinearities lie within some 'bounding functions', w
hich are assumed to be partially known. The key assumption is that the
uncertain terms satisfy a 'triangularity condition'. As illustrated b
y examples, the proposed design procedure expands the class of nonline
ar systems for which global adaptive stabilization methods can be appl
ied. The overall adaptive scheme is shown to guarantee global uniform
ultimate boundedness.