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Boundary exact controllability for a porous elastic Timoshenko system. (English) Zbl 07250666
Summary: In this paper, we consider a one-dimensional system governed by two partial differential equations. Such a system models phenomena in engineering, such as vibrations in beams or deformation of elastic bodies with porosity. By using the HUM method, we prove that the system is boundary exactly controllable in the usual energy space. We will also determine the minimum time allowed by the method for the controllability to occur.
MSC:
93C20 Control/observation systems governed by partial differential equations
93B05 Controllability
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