Abstract
Existence theorems are considered for relaxed optimal control problems described by semilinear systems in Banach spaces. Relaxed controls are used whose values are finitely additive probability measures; this class of relaxed controls does not require special assumptions (such as compactness) on the control set. Under suitable conditions, relaxed trajectories coincide with those obtained from differential inclusions. Existence theorems for relaxed controls are obtained that apply to distributed parameter systems described by semilinear parabolic and wave equations, as well as a version of Pontryagin’s maximum principle for relaxed optimal control problems.
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.
