Abstract
In this article, the input-to-state stability (ISS) properties of stochastic nonlinear systems with Markovian jump parameters are considered. Firstly, the notions of stochastic ISS, e λt-weighted (integral) ISS in mean and in the pth mean are introduced. Then by the Lyapunov-like function method, some corresponding criteria are provided. Lastly, a simulation example is provided to illustrate the effectiveness of our results.
| Original language | English |
|---|---|
| Pages (from-to) | 343-349 |
| Number of pages | 7 |
| Journal | International Journal of Control |
| Volume | 85 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Apr 2012 |
| Externally published | Yes |
Keywords
- Markovian jump parameter
- e -weighted (integral)
- input-to-state stability
- stochastic input-to-state stability
- stochastic nonlinear system