Further results concerning finite-time stability

Weiss and Infante [1], [2] developed sufficient conditions for finite-time stability of a vector differential equation. It is shown here that some of their theorems actually imply the stronger property of uniform finite-time stability. A theorem is presented which gives sufficient conditions for stability but not necessarily uniform stability. It is shown that this theorem can in certain cases yield better results than those of Weiss and Infante's corresponding theorem.

[1]  L. Weiss,et al.  ON THE STABILITY OF SYSTEMS DEFINED OVER A FINITE TIME INTERVAL. , 1965, Proceedings of the National Academy of Sciences of the United States of America.

[2]  P. Dorato,et al.  Finite time stability under perturbing forces and on product spaces , 1967, IEEE Transactions on Automatic Control.

[3]  L. Weiss Converse Theorems for Finite Time Stability , 1968 .