Abstract | ||
---|---|---|
In this paper, the classical LaSalle's invariance principle for ordinary differential equations is extended to switched delay systems. Generalized invariance principles are established, using both multiple Lyapunov functionals and multiple Lyapunov–Razumikhin functions. As an important application, stability criteria for switched delay systems are obtained. |
Year | DOI | Venue |
---|---|---|
2011 | 10.1093/imamci/dnq022 | IMA Journal of Mathematical Control and Information |
Keywords | Field | DocType |
switched systems,delay systems,hybrid systems, invariance principles,stability,multiple Lyapunov functionals,multiple Lyapunov–Razumikhin functions | Invariant (physics),Control theory,Mathematics | Journal |
Volume | Issue | ISSN |
28 | 1 | 0265-0754 |
Citations | PageRank | References |
3 | 0.48 | 12 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jun Liu | 1 | 215 | 20.63 |
Xinzhi Liu | 2 | 1318 | 106.23 |
Wei-Chau Xie | 3 | 276 | 12.07 |