When the rotatory inertia is taken into account, vibrations of a linear plate can be described by the Kirchhoff plate equation. Consider this equation with locally distributed control forces and some boundary conditio...When the rotatory inertia is taken into account, vibrations of a linear plate can be described by the Kirchhoff plate equation. Consider this equation with locally distributed control forces and some boundary condition which is the simply supported boundary condition for a rectangular plate. In this paper, the authors establish exact controllability of the system in terms of the equivalence to exact internal controllability of the wave equation, by means of a frequency domain characterization of exact controllability introduced recently in [11].展开更多
基金Supported by Fundamental Research Funds for the Central Universities(JUSRP51510)Summit of the Six Top Talents Program of Jiangsu Province(2013-DZXX-027)+1 种基金Postgraduate Research&Practice Innovation Program of Jiangsu Province(KYLX16_0776,SJLX16_0500,SJCX17_0510)China Scholarship Council(201706795031)
基金National Key Project of ChinaNational Natural Science Foundation of China! (No. 69874034).
文摘When the rotatory inertia is taken into account, vibrations of a linear plate can be described by the Kirchhoff plate equation. Consider this equation with locally distributed control forces and some boundary condition which is the simply supported boundary condition for a rectangular plate. In this paper, the authors establish exact controllability of the system in terms of the equivalence to exact internal controllability of the wave equation, by means of a frequency domain characterization of exact controllability introduced recently in [11].
