@conference {4,
	title = {Results on convergence in hybrid systems via detectability and an invariance principle},
	booktitle = {Proc. 24th American Control Conference},
	series = {NULL},
	year = {2005},
	pages = {551{\textendash}556},
	abstract = {<p>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 {\textquoteleft}{\textquoteleft}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.</p>},
	keywords = {hybrid systems},
	doi = {http://ieeexplore.ieee.org/iel5/9861/31519/01470014.pdf?tp=\&arnumber=1470014\&isnumber=31519},
	url = {https://hybrid.soe.ucsc.edu/files/preprints/4.pdf},
	author = {R. G. Sanfelice and R. Goebel and A.R. Teel}
}
