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G. C. Gorain, “Exponential Energy Decay Estimate for the Solutions of Internally Damped Wave Equation in a Bounded Domain,” Journal of Mathematical Analysis and Applications, Vol. 216, No. 2, 1997, pp. 510-520. doi:10.1006/jmaa.1997.5678

has been cited by the following article:

• TITLE: Uniform Exponential Stabilization for Flexural Vibrations of a Solar Panel

  AUTHORS: Prasanta Kumar Nandi, Ganesh Chandra Gorain, Samarjit Kar

  KEYWORDS: Solar Panel, Hybrid System, Flexural Vibrations, Uniform Exponential Stabilization, Energy Decay Estimate

  JOURNAL NAME: Applied Mathematics, Vol.2 No.6, June 21, 2011

  ABSTRACT: Here we study a problem of stabilization of the flexural vibrations or transverse vibrations of a rectangular solar panel. The dynamics of vibrations is governed by the fourth order Euler-Bernoulli beam equation. One end of the panel is held by a rigid hub and other end is totally free. Due to attachment of the hub, its dynamics leads to a non-standard equation. The exponential stabilization of the whole system is achieved by applying an active boundary control force only on the rigid hub. The result of uniform stabilization is obtained by means of an explicit form of exponential energy decay estimate.