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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; marigo@iac.rm.cnr.it..; piccoli@iac.rm.cnr.it..
Benedetto Piccoli
Affiliation:
IAC-CNR, Viale Policlinico 137, 00161 Roma, Italy; marigo@iac.rm.cnr.it..; piccoli@iac.rm.cnr.it..
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Abstract

In this paper we analyze several concepts of solution to discontinuous ODEs in relation tofeedbacks generated by optimal syntheses. Optimal trajectories are called Stratified Solutions incase of regular synthesis in the sense of Boltyanskii-Brunovsky. We introduce a concept ofsolution called Krasowskii Cone Robust that characterizes optimal trajectories for minimum timeon the plane and for general problems under suitable assumptions.

Keywords

Optimal controlregular synthesisdiscontinuous ODEs.

Information

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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