On the Controllability of a Wave Equation with Structural Damping

نویسندگان

  • Lionel Rosier
  • Pierre Rouchon
چکیده

We study the boundary controllability properties of a wave equation with structural damping ytt− yxx− 2ytxx = 0, y(0, t) = 0, y(1, t) = h(t) where 2 is a strictly positive parameter depending on the damping strength. We prove that this equation is not spectrally controllable and that the approximate controllability depends on the functional space in which the initial value Cauchy problem is studied. Copyright c ©2006IFAC

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تاریخ انتشار 2005