Regular syntheses and solutions to discontinuous ODEs
Alessia Marigo; Benedetto Piccoli
ESAIM: Control, Optimisation and Calculus of Variations (2010)
- Volume: 7, page 291-307
- ISSN: 1292-8119
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topMarigo, Alessia, and Piccoli, Benedetto. "Regular syntheses and solutions to discontinuous ODEs." ESAIM: Control, Optimisation and Calculus of Variations 7 (2010): 291-307. <http://eudml.org/doc/90624>.
@article{Marigo2010,
abstract = {
In this paper we analyze several concepts of solution to discontinuous ODEs in relation to
feedbacks generated by optimal syntheses. Optimal trajectories are called Stratified Solutions in
case of regular synthesis in the sense of Boltyanskii-Brunovsky. We introduce a concept of
solution called Krasowskii Cone Robust that characterizes optimal trajectories for minimum time
on the plane and for general problems under suitable assumptions.
},
author = {Marigo, Alessia, Piccoli, Benedetto},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Optimal control; regular synthesis; discontinuous ODEs.; optimal control; discontinuous ODEs},
language = {eng},
month = {3},
pages = {291-307},
publisher = {EDP Sciences},
title = {Regular syntheses and solutions to discontinuous ODEs},
url = {http://eudml.org/doc/90624},
volume = {7},
year = {2010},
}
TY - JOUR
AU - Marigo, Alessia
AU - Piccoli, Benedetto
TI - Regular syntheses and solutions to discontinuous ODEs
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 7
SP - 291
EP - 307
AB -
In this paper we analyze several concepts of solution to discontinuous ODEs in relation to
feedbacks generated by optimal syntheses. Optimal trajectories are called Stratified Solutions in
case of regular synthesis in the sense of Boltyanskii-Brunovsky. We introduce a concept of
solution called Krasowskii Cone Robust that characterizes optimal trajectories for minimum time
on the plane and for general problems under suitable assumptions.
LA - eng
KW - Optimal control; regular synthesis; discontinuous ODEs.; optimal control; discontinuous ODEs
UR - http://eudml.org/doc/90624
ER -
References
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