Journal of Applied Mathematics and Stochastic Analysis
Volume 9 (1996), Issue 1, Pages 69-75
doi:10.1155/S104895339600007X
Generalized practical stability results by perturbing Lyapunov functions
University of Southwestern Louisiana, Department of Mathematics, Lafayette 70504-1010, LA, USA
Received 1 March 1995; Revised 1 August 1995
Copyright © 1996 Donna Stutson and A. S. Vatsala. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
It is known that practical stability is neither stronger nor weaker than
Lyapunov stability. In this paper we combine perturbing Lyapunov technique
with stability in terms of two measures to obtain nonuniform practical stability
results under weaker assumptions. We also use comparison methods to obtain
these results.