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.

Keywords: hybrid systems, generalized solutions, differential inclusions, difference inclusions, robust control, hybrid feedback

@article{COCV_2008__14_4_699_0, 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://archive.numdam.org/articles/10.1051/cocv:2008008/} }

TY - JOUR AU - Sanfelice, Ricardo G. AU - Goebel, Rafal AU - Teel, Andrew R. TI - Generalized solutions to hybrid dynamical systems JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2008 SP - 699 EP - 724 VL - 14 IS - 4 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/cocv:2008008/ DO - 10.1051/cocv:2008008 LA - en ID - COCV_2008__14_4_699_0 ER -

%0 Journal Article %A Sanfelice, Ricardo G. %A Goebel, Rafal %A Teel, Andrew R. %T Generalized solutions to hybrid dynamical systems %J ESAIM: Control, Optimisation and Calculus of Variations %D 2008 %P 699-724 %V 14 %N 4 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/cocv:2008008/ %R 10.1051/cocv:2008008 %G en %F COCV_2008__14_4_699_0

Sanfelice, Ricardo G.; Goebel, Rafal; Teel, Andrew R. Generalized solutions to hybrid dynamical systems. ESAIM: Control, Optimisation and Calculus of Variations, Volume 14 (2008) no. 4, pp. 699-724. doi : 10.1051/cocv:2008008. http://archive.numdam.org/articles/10.1051/cocv:2008008/

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