# Generalized solutions to hybrid dynamical systems

Ricardo G. Sanfelice; Rafal Goebel; Andrew R. Teel

ESAIM: Control, Optimisation and Calculus of Variations (2008)

- Volume: 14, Issue: 4, page 699-724
- ISSN: 1292-8119

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topSanfelice, Ricardo G., Goebel, Rafal, and Teel, Andrew R.. "Generalized solutions to hybrid dynamical systems." ESAIM: Control, Optimisation and Calculus of Variations 14.4 (2008): 699-724. <http://eudml.org/doc/250364>.

@article{Sanfelice2008,

abstract = {
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.
},

author = {Sanfelice, Ricardo G., Goebel, Rafal, Teel, Andrew R.},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Hybrid systems; generalized solutions; differential inclusions; difference inclusions; robust control; hybrid feedback; hybrid systems},

language = {eng},

month = {2},

number = {4},

pages = {699-724},

publisher = {EDP Sciences},

title = {Generalized solutions to hybrid dynamical systems},

url = {http://eudml.org/doc/250364},

volume = {14},

year = {2008},

}

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

DA - 2008/2//

PB - EDP Sciences

VL - 14

IS - 4

SP - 699

EP - 724

AB -
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.

LA - eng

KW - Hybrid systems; generalized solutions; differential inclusions; difference inclusions; robust control; hybrid feedback; hybrid systems

UR - http://eudml.org/doc/250364

ER -

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