General piecewise linear filtering problems with small observation noise

Étienne Pardoux, M.C. Roubaud · 2003

An algorithm which is based on several Kalman filters running in parallel is presented. A test procedure for deciding which Kalman filter to follow, which produces a good estimate of the unobserved system process in a nonlinear filtering problem with piecewise linear dynamics and small observation noise is developed. The results generalize those of W.H. Fleming, D. Ji, and E. Pardoux (1988).>

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