3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.PR2008★ 3 cited
Almost Sure Stabilization for Adaptive Controls of Regime-switching LQ Systems with A Hidden Markov Chain
Bernard Bercu, Francois Dufour, G. George Yin
This work is devoted to the almost sure stabilization of adaptive control systems that involve an unknown Markov chain. The control system displays continuous dynamics represented…
math.PR2008
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…
math.FA2007
Spectrum of the product of Toeplitz matrices with application in probability
Bernard Bercu, Jean-Francois Bony, Vincent Bruneau
We study the spectrum of the product of two Toeplitz operators. Assume that the symbols of these operators are continuous and real-valued and that one of them is non-negative. We p…