Abstract
The paper deals with the time-optimal control of a system ?: x = f(x) + ug(x), |u| ? 1, x ? IR3, u ? IR where f and g are smooth vector fields. We consider the system near a point p where both triples (f(p), g(p), [f,g](p)) and (g(p),[f,g](p),[f,[f,g]](p)) are independent. We show that, for a generic system ?, p has a neighborhood U such that any time-optimal trajectory of ? lying in U is a concatenation of at most 6 bang or singular arcs.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
