HOMOGENEITY FOR TIME-DELAY SYSTEMS

Denis Efimov (1) , Wilfrid Perruquetti (1, 2)

1 NON-A - Non-Asymptotic estimation for online systems
2 SyNeR - Systèmes Non Linéaires et à Retards

The notion of homogeneity is extended to the time-delay nonlinear systems. It is shown that under some conditions the stability of homogeneous functional systems on a sphere implies the global stability of the system. The notion of local homogeneity is introduced, the relations between stability of the locally approximating dynamics and the original time-delay system are established. An example of the proposed theory application is given.

Domaines: Automatique / Robotique

Denis Efimov, Wilfrid Perruquetti. HOMOGENEITY FOR TIME-DELAY SYSTEMS. IFAC WC 2011, Aug 2011, Milan, Italy. pp.1-6. ⟨hal-00628890⟩