![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
Abstract
Finite time stability is defined for continuous non-autonomous systems. Starting with a result from Haimo (Citation1986) we then extend this result to n-dimensional non-autonomous systems through the use of smooth and non-smooth Lyapunov functions as in Perruquetti and Drakunov (Citation2000). One obtains two different sufficient conditions and a necessary one for finite time stability of continuous non-autonomous systems.
Acknowledgement
The authors thank the referees for careful reading and helpful suggestions on the improvement of the manuscript.