Abstract
This paper presents a new delay-dependent and parameter-dependent robust stability criterion for linear continuous-time systems with polytopic parameter uncertainties and time-varying delay in the state. This criterion, expressed as a set of linear matrix inequalities, requires no matrix variable to be fixed for the entire uncertainty polytope, which produces a less conservative stability test result. Numerical examples are given to show the effectiveness of the proposed techniques.
| Original language | English |
|---|---|
| Pages (from-to) | 366-373 |
| Number of pages | 8 |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 206 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Sep 2007 |
Keywords
- Delay-dependence
- Linear matrix inequality
- Parameter-dependence
- Robust stability
- Time-delay systems
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