Abstract
In this paper, we consider dynamic systems with uncertainties and time-varying delays. Based on the Lyapunov method and convex optimization approach, a delay-dependent criterion for exponential stability of the system is derived in terms of LMI (linear matrix inequality). In order to solve effectively the LMI convex optimization problem, an interior-point algorithm is utilized in this work. Numerical examples are illustrated to show the effectiveness of our results.
| Original language | English |
|---|---|
| Pages (from-to) | 521-532 |
| Number of pages | 12 |
| Journal | Journal of Optimization Theory and Applications |
| Volume | 137 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jun 2008 |
Keywords
- Delays
- Dynamic systems
- Exponential stability
- LMI optimization
- Lyapunov method
- Uncertainty
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