We consider here the problem of state and input estimation for a class
of uncertain systems which consist of a nominally linear part and an
uncertain/nonlinear/time-varying part which can be regarded as a state
-dependent/time-varying input. We obtain a Lyapunov-type characterizat
ion of the assumptions commonly found in the literature on this proble
m. Using this characterization, we obtain estimators which, using only
a measured output, can asymptotically estimate to any desired accurac
y the system state and the input. (C) 1998 Elsevier Science Ltd. All r
ights reserved.