| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4630751 | Applied Mathematics and Computation | 2011 | 9 Pages |
Abstract
This paper develops a new comparison principle for nonlinear impulsive differential systems, then the stability, practical stability and boundedness of impulsive differential systems are proved by using the method of perturbing Lyapunov functions. The notion of perturbing Lyapunov functions enables us to discuss stability properties of impulsive systems under much weaker assumptions. The reported novel results complement the existing results. It may provide a greater prospect for solving problems which exhibit impulsive effects.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xinyu Song, An Li,