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ESAIM: Control, Optimisation and Calculus of Variations (1)

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Generalized solutions to hybrid dynamical systems
Ricardo G. Sanfelice, Rafal Goebel, Andrew R. Teel
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 14 / Issue 4 / October 2008

Published online by Cambridge University Press:

07 February 2008, pp. 699-724

Print publication:

October 2008
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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.