Results on convergence in hybrid systems via detectability and an invariance principle
Submitted by ricardo on February 28, 2017 - 2:36pm
| Title | Results on convergence in hybrid systems via detectability and an invariance principle |
| Publication Type | Conference Paper |
| Year of Publication | 2005 |
| Authors | Sanfelice R.G, Goebel R., Teel A.R. |
| Conference Name | Proc. 24th American Control Conference |
| Keywords | hybrid systems |
| Abstract | Two invariance principles for generalized hybrid systems are presented. One version involves the use of a nonincreasing function, like in the original work of LaSalle. The other version involves ‘‘meagreness" conditions. These principles characterize asymptotic convergence of bounded hybrid trajectories to weakly invariant sets. A detectability property is used to locate a set in which the Omega-limit set of a trajectory is contained. Next, it is shown how the invariance principles can be used to certify asymptotic stability in hybrid systems. Lyapunov and Krasovskii theorems for hybrid systems are included. |
| URL | https://hybrid.soe.ucsc.edu/files/preprints/4.pdf |
| DOI |
