Abstract

Linear controlled multistep processes are considered with an additive quality functional under a phase constraint and a terminal condition. These processes are of interest for control theory and its applications. An existence theorem for optimum control is proved for the controlled processes under consideration. In analogy with backward constructions in the positional theory of differential games developed to solve positional differential pursuit games, a procedure for geometric splitting is developed for optimizing the considered problems that is characteristic of the theory of dynamic programming.

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 call

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.