Geodesic
Generalized solutions to hybrid dynamical systems
ESAIM: Control, Optimisation and Calculus of Variations, Tome 14 (2008) no. 4, pp. 699-724

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Several recent results in the area of robust asymptotic stability of hybrid systems show that the concept of a generalized solution to a hybrid system is suitable for the analysis and design of hybrid control systems. In this paper, we show that such generalized solutions are exactly the solutions that arise when measurement noise in the system is taken into account.

DOI : 10.1051/cocv:2008008
Classification : 93C73, 34A37, 93C65
Keywords: hybrid systems, generalized solutions, differential inclusions, difference inclusions, robust control, hybrid feedback 
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     author = {Sanfelice, Ricardo G. and Goebel, Rafal and Teel, Andrew R.},
     title = {Generalized solutions to hybrid dynamical systems},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {699--724},
     publisher = {EDP-Sciences},
     volume = {14},
     number = {4},
     year = {2008},
     doi = {10.1051/cocv:2008008},
     mrnumber = {2451791},
     zbl = {1147.93032},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008008/}
}
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Sanfelice, Ricardo G.; Goebel, Rafal; Teel, Andrew R. Generalized solutions to hybrid dynamical systems. ESAIM: Control, Optimisation and Calculus of Variations, Tome 14 (2008) no. 4, pp. 699-724. doi: 10.1051/cocv:2008008

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