@article {18,
	title = {Invariance principles for hybrid systems with connections to detectability and asymptotic stability},
	journal = {IEEE Transactions on Automatic Control},
	volume = {52},
	number = {12},
	year = {2007},
	pages = {2282{\textendash}2297},
	abstract = {The paper shows several versions of the (LaSalle{\textquoteright}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.},
	keywords = {hybrid systems},
	doi = {http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=04395187},
	url = {https://hybrid.soe.ucsc.edu/files/preprints/18.pdf},
	author = {R. G. Sanfelice and R. Goebel and A. R. Teel}
}
