A model-free design methodology is reported for identification and sta
ble adaptive control of a class of systems with state dependent parasi
tic effects such as friction. The methodology is constructive, incorpo
rates modeling error bound information, and ensures stable and converg
ent performance. The identifier and control designs are applicable to
a class of low-dimensional dynamic systems with the cited parasitic ef
fects. Validation of the designs is provided using two hardware exampl
e cases.