Finite time stability conditions for non-autonomous continuous systems

摘要

Finite time stability is defined for continuous non-autonomous systems. Starting with a result from Haimo (1986) 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 (2000). One obtains two different sufficient conditions and a necessary one for finite time stability of continuous non-autonomous systems.