Hybrid systems: Generalized solutions and robust stability. Goebel, R., Hespanha, J., Teel, A. R., Cai, C., & Sanfelice, R. IFAC Proceedings Volumes, 37(13):1–12, September, 2004.
Hybrid systems: Generalized solutions and robust stability [link]Paper  doi  abstract   bibtex   
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 efficient 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.
@article{goebel_hybrid_2004,
	title = {Hybrid systems: {Generalized} solutions and robust stability},
	volume = {37},
	issn = {14746670},
	shorttitle = {Hybrid systems},
	url = {https://linkinghub.elsevier.com/retrieve/pii/S1474667017311941},
	doi = {10.1016/S1474-6670(17)31194-1},
	abstract = {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 efficient 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.},
	language = {en},
	number = {13},
	urldate = {2020-01-05},
	journal = {IFAC Proceedings Volumes},
	author = {Goebel, Rafal and Hespanha, Joao and Teel, Andrew R. and Cai, Chaohong and Sanfelice, Ricardo},
	month = sep,
	year = {2004},
	pages = {1--12}
}
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