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International audienceIn this note, we present a new result that relates the condensation index of a sequence of complex numbers with the null controllability of parabolic systems. We show that a minimal time is required for controllability. The results are used to prove the boundary controllability of some coupled parabolic equations.On annonce un résultat qui relie lʼindice de condensation des suites complexes et la contrôlabilité à zéro des systèmes paraboliques. On montre quʼun temps minimal de contrôle est nécessaire. Ces résultats sont ensuite utilisés pour étudier la contrôlabilité à zéro par le bord de quelques systèmes paraboliques

A new relation between the condensation index of complex sequences and the null controllability of parabolic systems