Abstract
Optimality conditions for a Timoshenko beam model are derived in the maximum principle. For this aim, existence and uniqueness of the solution to the beam system and controllability properties of the system are discussed. Necessary optimality condition for the beam system, subjected to the rotary damping, external excitation, and mixed integral constraints including equality or/and inequality on the control function and state, is derived in the form of maximum principle. Besides obtaining that maximum principle is necessary condition for the optimality, it is also indicated sufficient optimality requirement is maximum principle in the presence of some convexity assumptions on the constraints.
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.