2 papers
math.DS2024
A Power Tower Control: A New Sliding Mode Control
Malek Ghanes, Jean-Pierre Barbot
A control based power tower function at order 2 is proposed in this paper. This leads to a new sliding mode control, which allows employing backstepping technique that combines bot…
eess.SY2022
Implicit function theorem for nonlinear time-delay systems with algebraic constraints
Yahao Chen, Malek Ghanes, Jean-Pierre Barbot
In this note, we discuss a generalization of the well-known implicit function theorem to the time-delay case. We show that the latter problem is closely related to the bicausal cha…