Regular syntheses and solutions to discontinuous ODEs
IAC-CNR, Viale Policlinico
137, 00161 Roma, Italy;
Revised: 12 February 2002
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.
Mathematics Subject Classification: 49K15 / 34A36 / 93C15.
Key words: Optimal control / regular synthesis / discontinuous ODEs.
© EDP Sciences, SMAI, 2002