Section: New Results

Backstepping with delay

Participants : Frédéric Mazenc, Siviu Niculescu, Mounir Bekaik.

In the contributions [30] and [63] , we revisited the problem of constructing globally asymptotically stabilizing control laws for nonlinear systems in feedback form with a known pointwise delay in the input. The result we obtained covers a family of systems wider than those studied in the literature and endows with control laws with a single delay, in contrast to those given in previous works which include two distinct pointwise delays or distributed delays. The strategy of design is based on the construction of an appropriate Lyapunov-Krasovskii functional. An illustrative example ends the paper.