Abstract
This paper investigates the robust stability problem for a class of uncertain neutral-type delayed systems. The systems under consideration contain parameter uncertainties and time-varying delays. We aim at designing less conservative robust stability criteria for such systems. A new second-order reciprocally convex inequality is first proposed in order to deal with double integral terms. Then, by constructing a new Lyapunov- Krasovskii functional and employing the improved Wirtinger-based integral inequality and the reciprocally convex combination approaches, novel stability criteria are obtained. Moreover, the stability conditions for standard time-delay system are obtained as by-product results. Comparisons in three numerical examples illustrate the effectiveness of our results.
| Original language | English |
|---|---|
| Pages (from-to) | 1982-1993 |
| Number of pages | 12 |
| Journal | International Journal of Systems Science |
| Volume | 47 |
| Issue number | 8 |
| DOIs | |
| State | Published - 10 Jun 2016 |
| Externally published | Yes |
Keywords
- Lyapunov-Krasoviskii functional
- neutral-type systems
- stability criteria
- time-varying delay
- uncertainty
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