Abstract
In this paper, the input-to-state stability (ISS) for a general class of stochastic multi-group models with multi-dispersal and time-varying delay is investigated. By means of graph theory and Lyapunov method as well as stochastic analysis techniques, sufficient criteria including a Lyapunov-type theorem and a coefficient-type theorem are obtained to guarantee that the proposed model is input-to-state stable. In addition, to show the applicability of our findings, the coefficient-type theorem is employed to study the ISS of stochastic coupled oscillators with time-varying delay and control input. Finally, a numerical example is offered to illustrate the effectiveness of the theoretical results.
| Original language | English |
|---|---|
| Pages (from-to) | 114-127 |
| Number of pages | 14 |
| Journal | Applied Mathematics and Computation |
| Volume | 343 |
| DOIs | |
| State | Published - 15 Feb 2019 |
| Externally published | Yes |
Keywords
- Graph theory
- Input-to-state stability
- Stochastic multi-group models
- Time-varying delay
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