Archivio Istituzionale della RicercaIn this paper we consider a viscoelastic plate (linear viscoelasticity of the Maxwell-Boltzmann type) and we compare its controllability properties with the (known) controllability of a purely elastic plate (the control acts on the boundary displacement or bending). By combining operator and moment methods, we prove that the viscoelastic plate inherits the controllability properties of the purely elastic plate.
Controllability of a Viscoelastic Plate using One Boundary Control in Displacement or Bending / Pandolfi, Luciano. - In: SIAM JOURNAL ON CONTROL AND OPTIMIZATION. - ISSN 0363-0129. - STAMPA. - 55:6(2017), pp. 4092-4111. [10.1137/16M1069675]
Controllability of a Viscoelastic Plate using One Boundary Control in Displacement or Bending
Luciano Pandolfi
2017
Abstract
In this paper we consider a viscoelastic plate (linear viscoelasticity of the Maxwell-Boltzmann type) and we compare its controllability properties with the (known) controllability of a purely elastic plate (the control acts on the boundary displacement or bending). By combining operator and moment methods, we prove that the viscoelastic plate inherits the controllability properties of the purely elastic plate.
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https://hdl.handle.net/11583/2695409
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