International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 2, Pages 273-278

Stability of nonlinear systems under constantly acting perturbations

Xinzhi Liu1 and S. Sivasundaram2

1Department of Applied Mathematics, University of Waterloo, Ontario, Waterloo N2L 3G1, Canada
2Department of Mathematics and Physical Sciences, Embry-Riddle Aeronautical University, Daytoha Beacl 32114, FL, USA

Received 9 September 1991

Copyright © 1995 Xinzhi Liu and S. Sivasundaram. 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.


In this paper, we investigate total stability, attractivity and uniform stability in terms of two measures of nonlinear differential systems under constant perturbations. Some sufficient conditions are obtained using Lyapunov's direct method. An example is also worked out.