4 papers
On the almost sure central limit theorem for ARX processes in adaptive tracking
Bernard Bercu, Victor Vazquez
The goal of this paper is to highlight the almost sure central limit theorem for martingales to the control community and to show the usefulness of this result for the system ident…
A Durbin-Watson serial correlation test for ARX processes via excited adaptive tracking
Bernard Bercu, Bruno Portier, Victor Vazquez
We propose a new statistical test for the residual autocorrelation in ARX adaptive tracking. The introduction of a persistent excitation in the adaptive tracking control allows us…
On the asymptotic behavior of the Durbin-Watson statistic for ARX processes in adaptive tracking
Bernard Bercu, Bruno Portier, Victor Vazquez
A wide literature is available on the asymptotic behavior of the Durbin-Watson statistic for autoregressive models. However, it is impossible to find results on the Durbin-Watson s…
A new concept of strong controllability via the Schur complement in adaptive tracking
Bernard Bercu, Victor Vazquez
We propose a new concept of strong controllability associated with the Schur complement of a suitable limiting matrix. This concept allows us to extend the previous results associa…