Abstract
In this paper we develop a convex optimization approach to stability analysis of linear systems with interval time-varying delay, by using the standard and the delay-partitioning-based Lyapunov-Krasovskii Functionals (LKFs). We introduce novel LKFs with matrices that depend on the time-delays. These functionals allow the derivation of the condition for stability, which depend on both, the upper and the lower bounds on delay derivatives. A numerical example is given which illustrates the efficiency of the new stability criteria.
| Original language | English |
|---|---|
| Title of host publication | ROCOND'09 - 6th IFAC Symposium on Robust Control Design, Proceedings |
| Pages | 208-213 |
| Number of pages | 6 |
| Edition | PART 1 |
| DOIs | |
| Publication status | Published - 2009 |
| Externally published | Yes |
| Event | 6th IFAC Symposium on Robust Control Design, ROCOND'09 - Haifa, Israel Duration: 16 Jun 2009 → 18 Jun 2009 |
Publication series
| Name | IFAC Proceedings Volumes (IFAC-PapersOnline) |
|---|---|
| Number | PART 1 |
| Volume | 6 |
| ISSN (Print) | 1474-6670 |
Conference
| Conference | 6th IFAC Symposium on Robust Control Design, ROCOND'09 |
|---|---|
| Country/Territory | Israel |
| City | Haifa |
| Period | 16/06/09 → 18/06/09 |
Keywords
- LMI
- Lyapunov-Krasovskii functional
- Time-varying delay
Fingerprint
Dive into the research topics of 'A convex optimization approach to stability of systems with uncertain delays'. Together they form a unique fingerprint.Cite this
Fridman, E., Shaked, U., & Liu, K. (2009). A convex optimization approach to stability of systems with uncertain delays. In ROCOND'09 - 6th IFAC Symposium on Robust Control Design, Proceedings (PART 1 ed., pp. 208-213). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 6, No. PART 1). https://doi.org/10.3182/20090616-3-IL-2002.0049