The observer synthesis of nonlinear large-scale systems is discussed.
The non-linearities satisfy the Lipschitz conditions instead of any ma
tching conditions and exist on the interconnection terms and local sys
tem matrices. With the aid of the solution of the Riccati-type equatio
n, the relationship between the nonlinearity bounds and the observer g
ains is derived. Moreover, the existence condition and seeking algorit
hm for the solution of the Riccati equation are investigated. An examp
le with simulations is given to illustrate the application of our resu
lts.