Section: New Results

Finite-time/Fixed-time stability and stabilization

Participants : Andrey Polyakov, Rosane Ushirobira.

In [33], we studied the issues of prescribed-time stabilization of a chain of integrators of arbitrary length, that can be either pure (i.e. with no disturbance) or perturbed. The feedback law proposed by Song et al. was revisited, and it was shown that by an appropriately recast within the framework of time-varying homogeneity it can stabilize the system in a prescribed time. Characterizations (necessary and sufficient conditions) of finite-time and fixed-time stability of evolution inclusions in Banach spaces were presented in [44] in terms of Lyapunov functionals.