caa a22 4500 397558988 CHVBK 20180308164811.0 cr unu---uuuuu 161202e199612 xx s 000 0 eng 10.1093/imamci/13.4.335 doi (NATIONALLICENCE)oxford-10.1093/imamci/13.4.335 Optimal control of serially connected structures using spatially distributed pointwise controllers [Elektronische Daten] [IBRAHIM S. SADEK, VALERIE H. MELVIN] A mathematical theory for a class of optimal control problems for a damped distributed-parameter system represented by N serially connnected flexible structures coupled through boundary conditions is formulated. The control is to be implemented by applying a finite number of actuators to a discrete number of points within the structure. A maximum principle is proved for a system of N partial differential equations of second order in time and forth order in space, coercive in space variables, with variable coefficients. Under additional convexity assumptions on the state variables and their derivatives, the optimal control is shown to be unique. The proposed theory is demonstrated by applying it to problem of controlling the vibrations of the two strings that are coupled at the connecting point. Numerical results are given for various parameters, and the efficiency of the control is investigated. © Oxford University Press Articles nationallicence SADEK IBRAHIM S. Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals Dhahran -31261, Saudi Arabia aut MELVIN VALERIE H. Department of Mathematical Sciences, University of North Carolina at Wilmington Wilmington, North Carolina 28403, USA aut IMA Journal of Mathematical Control and Information Oxford University Press 13/4(1996-12), 335-358 0265-0754 13:4<335 1996 13 imamci https://doi.org/10.1093/imamci/13.4.335 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1093/imamci/13.4.335 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- SADEK IBRAHIM S. Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals Dhahran -31261, Saudi Arabia aut NATIONALLICENCE 700 1- MELVIN VALERIE H. Department of Mathematical Sciences, University of North Carolina at Wilmington Wilmington, North Carolina 28403, USA aut NATIONALLICENCE 773 0- IMA Journal of Mathematical Control and Information Oxford University Press 13/4(1996-12), 335-358 0265-0754 13:4<335 1996 13 imamci Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford