Team, Visitors, External Collaborators
Overall Objectives
Research Program
Application Domains
Highlights of the Year
New Software and Platforms
New Results
Partnerships and Cooperations
XML PDF e-pub
PDF e-Pub

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 x˙=f(x)=H(x)b(x), where H is homogeneous and b is bounded. We defined the homogeneous extension of the non-homogeneous function f and used this extension to prove that, under some conditions on b, if the system x˙=f(x) 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 x˙=f(x)=H(x)b(x) by considering b as a perturbation.