@article {Bazezew:1 September 1999:0264-4401:659, author = "Bazezew, A.", author = "Bruch, J.C.", author = "Sloss, J.M.", title = "Optimal distributed control of transverse vibration of a plate", journal = "Engineering Computations: Int J for Computer-Aided Engineering", volume = "16", year = "1 September 1999", abstract = "Distributed control is an effective method for controlling and suppressing excessive vibrations of continuous systems. Optimal distributed control for a plate problem is solved utilizing a maximum principle after the introduction of a quadratic index of performance in terms of displacement, velocity and a control force as well as an adjoint variable. The problem is reduced to solving a system of partial differential equations for the state variable and the adjoint variable subjected to boundary, initial and terminal conditions. A numerical algorithm is presented to solve the optimal distributed control problem in the space-time domain which reduces the computational effort required to solve the initial-terminal-boundary value problem. Results obtained for a simply supported, rectangular, thin plate are also presented.", pages = "659-676(18)", url = "http://www.ingentaconnect.com/content/mcb/182/1999/00000016/00000006/art00002" doi = "doi:10.1108/02644409910281226" }