Name
Title | ||
|---|---|---|
Stability analysis by contraction principle for impulsive systems with infinite delays |
Abstract | ||
|---|---|---|
•This paper studies a class of quasi-linear impulsive systems of functional differential equations with infinite time delay.•It uses the Banach contraction principle.•It has established criteria on uniform stability and asymptotic stability.•The proposed approach utilizes the idea of averaging instead of the point-wise estimate in the Lyapunov method.•It shows that the Banach contraction principle can be used as a possible alternative to Lyapunov methods for stability analysis when the conditions of Lyapunov method fails to hold. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.cnsns.2019.105021 | Communications in Nonlinear Science and Numerical Simulation |
Keywords | DocType | Volume |
Contraction principle,Stability,Impulsive system,Time delay | Journal | 82 |
ISSN | Citations | PageRank |
1007-5704 | 0 | 0.34 |
References | Authors | |
0 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xinzhi Liu | 1 | 1318 | 106.23 |
| Cesar Ramirez | 2 | 0 | 0.34 |