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math.DS2017
Diagnosability and detectability of multiple faults in nonlinear models
Nathalie Verdière, Sébastien Orange
This paper presents a novel method for assessing multiple fault diagnosability and detectability of nonlinear parametrized dynamical models. This method is based on computer algebr…
math.DS2011
Nonlinear Synchronization on Connected Undirected Networks
Sébastien Orange, Nathalie Verdière
This paper gives sufficient conditions for having complete synchronization of oscillators in connected undirected networks. The considered oscillators are not necessarily identical…
math.DS2009
Dynamical Systems of Simplices in Dimension 2 or 3
Gerald Bourgeois, Sebastien Orange
Let T_0=(A_0,..,A_d) be a d-simplex, G_0 its centroid, S its circumsphere, O the center of S. Let (B_i) be the points where S intersects the lines (G_0A_i), T_1 the d-simplex (B_1,…