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

Abstract

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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.

How to cite

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Sanfelice, 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 -

References

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