Regular syntheses and solutions to discontinuous ODEs
ESAIM: Control, Optimisation and Calculus of Variations, Tome 7 (2002), pp. 291-307.

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.

DOI : 10.1051/cocv:2002013
Classification : 49K15, 34A36, 93C15
Mots-clés : optimal control, regular synthesis, discontinuous ODEs 
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Marigo, Alessia; Piccoli, Benedetto. Regular syntheses and solutions to discontinuous ODEs. ESAIM: Control, Optimisation and Calculus of Variations, Tome 7 (2002), pp. 291-307. doi : 10.1051/cocv:2002013. http://www.numdam.org/articles/10.1051/cocv:2002013/

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