@inbook {21,
	title = {Hybrid systems: limit sets and zero dynamics with a view toward output regulation},
	booktitle = {Analysis and Design of Nonlinear Control Systems},
	year = {2008},
	pages = {241-261},
	publisher = {Springer-Verlag},
	organization = {Springer-Verlag},
	chapter = {Hybrid systems: limit sets and zero dynamics with a view toward output regulation},
	abstract = {<p>We present results on omega-limit sets and minimum phase zero dynamics for hybrid dynamical systems. Moreover, we give pointers to how these results may be useful in the future for solving the output regulation problem for hybrid systems. We highlight the main attributes of omega-limit sets and we show, under mild conditions, that they are asymptotically stable. We define a minimum phase notion in terms of omega-limit sets and establish an equivalent Lyapunov characterization. Then we study the feedback stabilization problem for a class of minimum phase, relative degree one hybrid systems. Finally, we discuss output regulation for this class of hybrid systems. We illustrate the concepts with examples throughout the paper.</p>},
	keywords = {hybrid systems},
	doi = {http://www.springer.com/west/home/generic/search/results?http://www.springerlink.com/content/r00r175353435104/fulltext.pdf},
	url = {https://hybrid.soe.ucsc.edu/files/preprints/21.pdf},
	author = {C. Cai and R. Goebel and R. G. Sanfelice and A. R. Teel},
	editor = {A. Astolfi and L. Marconi and A. Astolfi and L. Marconi}
}
@conference {16,
	title = {Complex hybrid systems: stability analysis for omega limit sets},
	booktitle = {Proc. 26th Chinese Control Conference},
	series = {NULL},
	year = {2007},
	abstract = {This paper focuses on the asymptotic stability properties of omega limit sets for complex hybrid dynamical systems, which are commonly found in systems and engineering. It spells out specific stability results that follow when a hybrid dynamical system has certain structure, e.g., when it admits a decomposition resembling a cascade of hybrid dynamical systems.},
	keywords = {hybrid systems},
	url = {https://hybrid.soe.ucsc.edu/files/preprints/16.pdf},
	author = {C. Cai and R. Goebel and R. G. Sanfelice and A.R. Teel}
}
@conference {14,
	title = {{H}ybrid {S}ystems: stability and control},
	booktitle = {Proc. 26th Chinese Control Conference},
	series = {NULL},
	year = {2007},
	chapter = {Hybrid systems: limit sets and zero dynamics with a view toward output regulation},
	abstract = {We present results on omega-limit sets and minimum phase zero dynamics for hybrid dynamical systems. Moreover, we give pointers to how these results may be useful in the future for solving the output regulation problem for hybrid systems. We highlight the main attributes of omega-limit sets and we show, under mild conditions, that they are asymptotically stable. We define a minimum phase notion in terms of omega-limit sets and establish an equivalent Lyapunov characterization. Then we study the feedback stabilization problem for a class of minimum phase, relative degree one hybrid systems. Finally, we discuss output regulation for this class of hybrid systems. We illustrate the concepts with examples throughout the paper.},
	keywords = {hybrid systems},
	url = {https://hybrid.soe.ucsc.edu/files/preprints/14.pdf},
	author = {C. Cai and R. Goebel and R. G. Sanfelice and A. R. Teel}
}
@conference {3,
	title = {Hybrid systems: generalized solutions and robust stability},
	booktitle = {Proc. 6th IFAC Symposium in Nonlinear Control Systems},
	series = {NULL},
	year = {2004},
	pages = {1{\textendash}12},
	abstract = {<p>Robust asymptotic stability for hybrid systems is considered. For this purpose, a generalized solution concept is developed. The first step is to characterize a hybrid time domain that permits an efiient description of the convergence of a sequence of solutions. Graph convergence is used. Then a generalized solution definition is given that leads to continuity with respect to initial conditions and perturbations of the system data. This property enables new results on necessary conditions for asymptotic stability in hybrid systems.</p>},
	keywords = {hybrid systems},
	doi = {http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.61.8882\&rep=rep1\&type=pdf},
	url = {https://hybrid.soe.ucsc.edu/files/preprints/3.pdf},
	author = {R. Goebel and J.P. Hespanha and A.R. Teel and C. Cai and R. G. Sanfelice}
}
