Abstract
This paper is concerned with the stability analysis of linear systems with time-varying delay in a given range. We construct different Lyapunov functionals when the time-varying delay belongs to different intervals. Combined with the piece-wise analysis method and the convexity properties of matrix inequality, some new criteria are derived in terms of linear matrix inequalities. Some numerical examples show the effectiveness of the derived criteria.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 31st Chinese Control Conference, CCC 2012 |
| Pages | 1499-1504 |
| Number of pages | 6 |
| Publication status | Published - 2012 |
| Externally published | Yes |
| Event | 31st Chinese Control Conference, CCC 2012 - Hefei, China Duration: 25 Jul 2012 → 27 Jul 2012 |
Publication series
| Name | Chinese Control Conference, CCC |
|---|---|
| ISSN (Print) | 1934-1768 |
| ISSN (Electronic) | 2161-2927 |
Conference
| Conference | 31st Chinese Control Conference, CCC 2012 |
|---|---|
| Country/Territory | China |
| City | Hefei |
| Period | 25/07/12 → 27/07/12 |
Keywords
- Delay-dependent Stability
- Linear Matrix Inequality(LMI)
- Lyapunov-Krasovskii Functionals(LKFs)
- Piecewise Analysis Method(PAM)
- Time-varying Delay
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Meng, H., Kang, Y., & Zhai, D. (2012). On stability of linear systems with time-varying delay. In Proceedings of the 31st Chinese Control Conference, CCC 2012 (pp. 1499-1504). Article 6390163 (Chinese Control Conference, CCC).