Section: New Results

Stabilization of multistable systems

Participants : Rosane Ushirobira, Denis Efimov.

The problem of robust stabilization of affine nonlinear multistable systems with respect to disturbance inputs was studied in [29]. The results are obtained using the framework of input-to-state stability and integral input-to-state stability for systems with multiple invariant sets. The notions of corresponding control Lyapunov functions as well as the small control property are extended within the multistability framework. It is verified that the universal control formula can be applied. In a similar vein, input-to-state stability and stabilization of passive multistable systems were investigated in [53].