Name
Abstract | ||
|---|---|---|
The delay-dependent stability problem for systems with time-delay varying in an interval is addressed in this article. The new idea in this article is to connect two very efficient approaches: the discretised Lyapunov functional for systems with pointwise delay and the convex analysis for systems with time-varying delay. The proposed method is able to check the stability interval when the time-varying delay dt belongs to an interval [r, τ]. The case of unstable delayed systems for r = 0 is also treatable. The resulting criterion, expressed in terms of a convex optimisation problem, outperforms the existing ones in the literature, as illustrated by the numerical examples. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1080/00207721.2012.720297 | Int. J. Systems Science |
Keywords | Field | DocType |
efficient approach,convex optimisation problem,new delay-interval stability condition,pointwise delay,time-varying delay dt,stability interval,numerical example,convex analysis,new idea,delay-dependent stability problem,time-varying delay,linear matrix inequality | Mathematical optimization,Control theory,Regular polygon,Lyapunov functional,Linear matrix inequality,Mathematics,Convex analysis,Pointwise | Journal |
Volume | Issue | ISSN |
45 | 3 | 0020-7721 |
Citations | PageRank | References |
6 | 0.50 | 7 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Fernando O. Souza | 1 | 48 | 8.33 |
| Reinaldo M. Palhares | 2 | 467 | 41.12 |