Neural networks are able to approximate a large class of input-output
maps and are also attractive due to their parallel structure which can
lead to numerically inexpensive weight update laws. These properties
make neural networks a viable paradigm for adaptive system identificat
ion and control, and as a consequence the use of neural networks for i
dentification and control has become an active area of research. This
paper contributes to this research thrust by developing adaptive neura
l identification algorithms that are able to minimize the influences o
f extrinsic noise on the quality of the identified model. The developm
ent relies on the use of a batch ARMarkov model, a generalization of a
n ARMA model whose parameters include some of the Markov parameters of
the system and whose output contains the system outputs at previous s
ample instants. Through both theoretical analyses and simulation resul
ts, this paper demonstrates the ability of the neural network predicat
ed on a batch ARMarkov model to improve on the noise rejection propert
ies of identification, based on either an ARMA model or a CARMA model
developed by Watanabe et al. Although the focus here is on linear syst
em identification, the paper lays a foundation for adaptive, nonlinear
identification and control.