Abstract
In this paper, the problem of robust stability for uncertain linear systems with time-varying delay and non-linear perturbations is investigated. The systems possess both nonlinear perturbations and norm-bounded uncertainties. Based on the Lyapunov-Krasovskii functional approach and S procedure, a new delay-dependent stability criterion is presented, which is in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the developed techniques.
| Original language | English |
|---|---|
| Pages (from-to) | 411-416 |
| Number of pages | 6 |
| Journal | Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering |
| Volume | 220 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2006 |
| Externally published | Yes |
Keywords
- Linear matrix inequalities
- Non-linear perturbations
- Norm-bounded uncertainty
- Robust stability
- Time-varying delay