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| EQUIVALENCE BETWEEN EXACT INTERNAL CONTROLLABILITY OF THE KIRCHHOFF PLATE-LIKE EQUATION AND THEWAVE EQUATION |
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Citation： |
LIU Kangsheng.EQUIVALENCE BETWEEN EXACT INTERNAL CONTROLLABILITY OF THE KIRCHHOFF PLATE-LIKE EQUATION AND THEWAVE EQUATION[J].Chinese Annals of Mathematics B,2000,21(1):71~76 |
| Page view： 1228
Net amount： 858 |
Authors： |
LIU Kangsheng; |
Foundation： |
Project supported by the National Key Project of China and the National Natural Science Foundation of China (No. 69874034). |
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| Abstract： |
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]. |
Keywords： |
Kirchhoff plate equation, Locally distributed control, Exact controllability, Wave equation, Frequency domain condition |
Classification： |
93B05, 35B37, 35B40 |
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