Abstract : 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.
https://hal.archives-ouvertes.fr/hal-00177572 Contributor : Emmanuel MoulayConnect in order to contact the contributor Submitted on : Monday, October 8, 2007 - 3:39:07 PM Last modification on : Wednesday, April 27, 2022 - 4:40:16 AM Long-term archiving on: : Monday, September 24, 2012 - 1:15:22 PM
Emmanuel Moulay, Wilfrid Perruquetti. Finite time stability conditions for non autonomous continuous systems. International Journal of Control, Taylor & Francis, 2008, 81 (5), pp.797-803. ⟨10.1080/00207170701650303⟩. ⟨hal-00177572⟩