This paper presents for the first time a solution to the Problem of decentr
alized adaptive asymptotic tracking for a new class of large-scale systems
using nonlinear output feedback. The proposed constructive approach does no
t require any matching conditions on the parametric uncertainties nor growt
h conditions of any kind on the subsystem and interacting output nonlineari
ties. Any decentralized system in the family may have an unknown, nonzero e
quilibrium point. Partially decentralized reduced-order filters are present
ed to recover the unmeasured states. The recursive, decentralized, output-f
eedback design procedure is illustrated in a practical example of two inver
ted pendulums on carts without velocity measurements. The effectiveness of
the decentralized algorithm is supported by simulation results.