Finite time stability conditions for non autonomous continuous systems

Emmanuel Moulay (1) , Wilfrid Perruquetti (2)

1 IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes
2 SyNeR - Systèmes Non Linéaires et à Retards

Finite time stability is defined for continuous non autonomous systems. Starting with a result from Haimo Haimo (1986) we then extend this result to n¡dimensional non autonomous systems through the use of smooth and nonsmooth Lyapunov functions as in Perruquetti and Drakunov (2000). One obtains two different sufficient conditions and a necessary one for finite time stability of continuous non autonomous systems.

Domaines: Automatique / Robotique

Emmanuel Moulay, Wilfrid Perruquetti. Finite time stability conditions for non autonomous continuous systems. International Journal of Control, 2008, 81 (5), pp.797-803. ⟨10.1080/00207170701650303⟩. ⟨hal-00177572⟩