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MST
2010
111views more  MST 2010»
13 years 6 months ago
Sturmian Trees
We consider Sturmian trees as a natural generalization of Sturmian words. A Sturmian tree is a tree having n + 1 distinct subtrees of height n for each n. As for the case of words,...
Jean Berstel, Luc Boasson, Olivier Carton, Isabell...
AUTOMATICA
2008
97views more  AUTOMATICA 2008»
13 years 8 months ago
Injectivity analysis using interval analysis: Application to structural identifiability
This paper presents a new numerical algorithm based on interval analysis able to prove that a differentiable function f : A Rn Rn is injective. This algorithm also performs a par...
Sebastien Lagrange, Nicolas Delanoue, Luc Jaulin
AUTOMATICA
2006
135views more  AUTOMATICA 2006»
13 years 8 months ago
Finite-time convergent gradient flows with applications to network consensus
This paper introduces the normalized and signed gradient dynamical systems associated with a differentiable function. Extending recent results on nonsmooth stability analysis, we ...
Jorge Cortés
INFORMATICALT
2002
191views more  INFORMATICALT 2002»
13 years 7 months ago
Optimal Control of a Well-Stirred Bioreactor in the Presence of Stochastic Perturbations
We study the stochastic model for bioremediation in a bioreactor with ideal mixing. The dynamics of the examined system is described by stochastic differential equations. We consid...
Vadim Azhmyakov
SIAMMAX
2010
111views more  SIAMMAX 2010»
13 years 2 months ago
Stochastic Galerkin Matrices
We investigate the structural, spectral, and sparsity properties of Stochastic Galerkin matrices as they arise in the discretization of linear differential equations with random co...
Oliver G. Ernst, Elisabeth Ullmann