Abstract
ABSTRACT In this paper the control system described by the ordinary nonlinear differential equation is considered. The admissible control functions are chosen from the closed ball of radius r in the space L p , p ∈ [ 1 , ∞ ] , centred at the origin. The behaviour of the set of trajectories at p = 1 is studied. It is proved that the set of trajectories is the Hausdorff right upper semicontinuous and Vietoris right lower semicontinuous at p = 1. It is illustrated that it is not Hausdorff right lower semicontinuous at p = 1.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.