Nonlinear wave equations and boundary control using visco elastic dampers

Banks S. P., SALAMCİ M. U.

7th International Conference on Vibration Problems (ICOVP 2005), İstanbul, Türkiye, 5 - 09 Eylül 2005, cilt.111, ss.79-80 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 111
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.79-80
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper we shall study the boundary control and stabilization of nonlinear wave systems which are controlled by viscoelastic dampers on the boundary. This requires the use of fractional derivatives and a recent 'iteration' technique for converting nonlinear problems into a sequence of time-varying linear ones. We shall use the theory of evolution operators on Hilbert space and obtain an abstract setting for the problem.