Communications in Information and Systems
Volume 6 (2006)
Recursive system identification by stochastic approximation
Pages: 253 – 272
The convergence theorems for the stochastic approximation (SA) algorithm with expanding truncations are first presented, which the system identification methods discussed in the paper are essentially based on. Then, the recursive identification algorithms are respectively defined for the multivariate errors-in-variables systems, Hammerstein systems, and Wiener systems. All es- timates given in the paper are strongly consistent.
System identification; Hammerstein system; Wiener system; errors-in-variables (EIV); stochastic approximation; recursive algorithm; strong consistency