Differentiable Families of Planar Bimodal Linear Control Systems

Abstract EN

We consider bimodal linear control systems consisting of two subsystems acting on each side of a given hyperplane, assuming continuity along it.

For a differentiable family of planar bimodal linear control systems, we obtain its stratification diagram and, if controllability holds for each value of the parameters, we construct a differentiable family of feedbacks which stabilizes both subsystems for each value of the parameters.