Section: New Results
Robustness of homogeneous systems
Participants : Andrey Polyakov, Denis Efimov.
In [32], we studied the finite-time stability of a class of nonlinear systems , where is homogeneous and is bounded. We defined the homogeneous extension of the non-homogeneous function and used this extension to prove that, under some conditions on , if the system is globally asymptotically stable, then it is finite-time stable. In [31], a theoretical basement of the previous result has been given showing robust stability of the system by considering as a perturbation.