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Regular syntheses and solutions to discontinuous ODEs

Published online by Cambridge University Press:  15 September 2002

Alessia Marigo  and
Benedetto Piccoli
Alessia Marigo
Affiliation:
IAC-CNR, Viale Policlinico 137, 00161 Roma, Italy; [email protected]..; [email protected]..
Benedetto Piccoli
Affiliation:
IAC-CNR, Viale Policlinico 137, 00161 Roma, Italy; [email protected]..; [email protected]..
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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.

Keywords

Optimal controlregular synthesisdiscontinuous ODEs.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 7 , 2002 , pp. 291 - 307
Copyright
© EDP Sciences, SMAI, 2002

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