Abstract
This paper investigated the eventual stability of the zero solution of nonlinear impulsive differential systems. First, the definitions of the eventual stability of the zero solution to impulsive differential systems are introduced. Then, by means of Liapunov functions, sufficient conditions for the uniform eventual stability, asymptotic eventual stability, uniformly asymptotic eventual stability and eventual instability of the zero solution of nonlinear impulsive differential systems are presented. An example was discussed to show the application of the results.
| Original language | English |
|---|---|
| Pages (from-to) | 1002-1008 |
| Number of pages | 7 |
| Journal | Shanghai Jiaotong Daxue Xuebao/Journal of Shanghai Jiaotong University |
| Volume | 39 |
| Issue number | 6 |
| State | Published - Jun 2005 |
Keywords
- Asymptotic eventual stability
- Eventual instability
- Nonlinear impulsive differential system
- Uniform eventual stability
- Uniformly asymptotic eventual stability