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math.CA2026
Local convergence of Sussmann's infinite product for analytic vector fields
Jérémy Le Borgne, Frédéric Marbach
In 1986, Sussmann proposed an expansion of the Chen series as an infinite product of exponentials of Hall basis elements multiplied by coefficients defined through a simple inducti…
math.CA2020★ 14 cited
On expansions for nonlinear systems, error estimates and convergence issues
Karine Beauchard, Jérémy Le Borgne, Frédéric Marbach
Explicit formulas expressing the solution to non-autonomous differential equations are of great importance in many application domains such as control theory or numerical operator…