Abstract
We consider a semilinear control system in a Banach space E. Relaxed (i.e. probability measure — valued) controls are introduced in a way that avoids special assumptions (such as compactness) on the control set, with a view to obtaining automatic existence theorems for optimal control problems. Relaxed trajectories are shown to be the same as those defined by differential inclusions. The set of relaxed trajectories is closed and results on optimal control of systems driven by ordinary controls are easily shown to generalize to the relaxed control setting.
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.
