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Energy decay and control for a system of strings elastically connected in parallel
Authors:Ruikson SO Nunes  Waldemar D Bastos  João Manoel S Pitot
Institution:1. Department of Mathematics, UFMT-Federal University of Mato Grosso, Cuiabá, Brazil;2. Department of Mathematics, UNESP-São Paulo State University, São José do Rio Preto, Brazil
Abstract:In the present paper, we study energy decay and exact boundary controllability for a system of n one-dimensional linear wave equations coupled in parallel. The control obtained is a square integrable of the Neuman type for initial data with finite energy. The controllability time is near optimal value. We treat the case of control in the whole boundary and also in part of it.
Keywords:coupled systems  exact controllability  linear Klein-Gordon equation  local energy decay
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