TY - JOUR AU1 - Sun, Bing AB - This paper is concerned with the optimal control problem of the vibrations of an elastic beam, which is governed by a non-linear partial differential equation. The functional analytical approach of Dubovitskii and Milyutin is adopted in investigation of the Pontryagin's maximum principle of the system. The necessary condition is presented for the optimal control problem in fixed final horizon case. TI - Optimal control of vibrations of an elastic beam JF - IMA Journal of Mathematical Control and Information DO - 10.1093/imamci/dnp002 DA - 2009-04-27 UR - https://www.deepdyve.com/lp/oxford-university-press/optimal-control-of-vibrations-of-an-elastic-beam-irfpDBI4y6 SP - 151 EP - 162 VL - 26 IS - 2 DP - DeepDyve ER -