International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 2, Pages 273-278
doi:10.1155/S0161171295000330
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
Abstract
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.