Invariance principles for hybrid systems with connections to detectability and asymptotic stability
Submitted by ricardo on February 28, 2017 - 2:36pm
| Title | Invariance principles for hybrid systems with connections to detectability and asymptotic stability |
| Publication Type | Journal Article |
| Year of Publication | 2007 |
| Authors | Sanfelice R.G, Goebel R., Teel A.R |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 52 |
| Pagination | 2282–2297 |
| Keywords | hybrid systems |
| Abstract | The paper shows several versions of the (LaSalle’s) invariance principle for general hybrid systems. The broad framework allows for nonuniqueness of solutions, Zeno behaviors, and does not insist on continuous dependence of solutions on initial conditions. Instead, only a mild structural property involving graphical convergence of solutions is posed. The general invariance results are then specified to hybrid systems given by set-valued data. Further results involving invariance as well as observability, detectability, and asymptotic stability are given. |
| URL | https://hybrid.soe.ucsc.edu/files/preprints/18.pdf |
| DOI |
