Stability and Stabilization of Homogeneous Systems Depending on a Parameter

Emmanuel Moulay (1)

1 IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes

This paper deals with the Lyapunov stability and stabilization of nonlinear homogeneous systems depending on a parameter. We give a new method for proving global stability and stabilization by using a continuous topological deformation which preserves the stability. The proposed results use a condition based on a well known topological lemma, called the tube lemma. To illustrate these results, we study finite time robust stabilization of the chain of integrators.

Domaines: Automatique

Emmanuel Moulay. Stability and Stabilization of Homogeneous Systems Depending on a Parameter. IEEE Transactions on Automatic Control, 2009, 54 (6), pp.1382-1385. ⟨10.1109/TAC.2009.2015560⟩. ⟨hal-03088812⟩