# A remark on sliding mode differentiation and calculus of variation

These notes are devoted to the following remark: the 2-sliding mode differentiation approach can be recast in the framework of calculus of variation. It then appears as an optimal control problem. More precisely, the Levant’s differentiator is expressed as a stationary point of a functional representing a regularized cost function, with L2 regularization.

## Mots clés

Sliding mode differentiators, Calculus of Variation, Optimal control