Abstract
This paper presents a brief survey on the robust stability analysis of time-delay systems against parametric uncertainties. It focuses on the case when the systems involve uncertain parameters falling into some intervals respectively, and their characteristic quasi-polynomials depend linearly on the uncertain parameters. The "Edge Theorem", the method of stability switch and a graphic test are applied for the robust stability analysis, and are demonstrated through an example of time-delay system of single degree of freedom.
| Original language | English |
|---|---|
| Title of host publication | IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty - Proceedings of the IUTAM Symposium |
| Publisher | Springer Verlag |
| Pages | 363-372 |
| Number of pages | 10 |
| ISBN (Print) | 9781402063312 |
| DOIs | |
| Publication status | Published - 2007 |
| Externally published | Yes |
| Event | IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty - Nanjing, China Duration: 18 Sept 2006 → 22 Sept 2006 |
Publication series
| Name | Solid Mechanics and its Applications |
|---|---|
| Volume | 2 |
| ISSN (Print) | 1875-3507 |
Conference
| Conference | IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty |
|---|---|
| Country/Territory | China |
| City | Nanjing |
| Period | 18/09/06 → 22/09/06 |
Keywords
- Robust stability
- Time delay
- Uncertain parameters
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Wang, Z. H., & Hu, H. Y. (2007). Robust stability of time-delay systems with uncertain parameters. In IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty - Proceedings of the IUTAM Symposium (pp. 363-372). (Solid Mechanics and its Applications; Vol. 2). Springer Verlag. https://doi.org/10.1007/978-1-4020-6332-9_37