20 citations · 25 across the 10 of their papers we have counts for
4 papers · 1 filter
Mortensen Observer for a class of variational inequalities -Lost equivalence with stochastic filtering approaches
L. P. Chaintron, Álvaro Mateos González, Laurent Mertz +1
We address the problem of deterministic sequential estimation for a nonsmooth dynamics in R governed by a variational inequality, as illustrated by the Skorokhod problem with a ref…
Degenerate Dirichlet Problems Related to the Ergodic Property of an Elasto-Plastic Oscillator Excited by a Filtered White Noise
Alain Bensoussan, Laurent Mertz
A stochastic variational inequality is proposed to model an elasto-plastic oscillator excited by a filtered white noise. We prove the ergodic properties of the process and characte…
Behavior of the plastic deformation of an elasto-perfectly-plastic oscillator with noise
Alain Bensoussan, Laurent Mertz
Earlier works in engineering, partly experimental, partly computational have revealed that asymptotically, when the excitation is a white noise, plastic deformation and total defor…
An analytic approach to the ergodic theory of stochastic variational inequalities
Alain Bensoussan, Laurent Mertz
In an earlier work made by the first author with J. Turi (Degenerate Dirichlet Problems Related to the Invariant Measure of Elasto-Plastic Oscillators, AMO, 2008), the solution of…