Section: New Results

Linear Complementarity Systems

Participants : Bernard Brogliato, Christophe Prieur, Alexandre Vieira.

The quadratic optimal control of Linear complementarity systems (LCS) is analysed in [37]. The major difficulty comes from the fact that complementarity conditions introduce non convex constraints. Suitable algorithms have to be used to solve the MPEC problems for solving the direct method. The indirect (Pontryagin's) approach is quite delicate and is currently analysed in the PhD thesis of A. Vieira.