The stabilization of a linearized self-excited wave equation by an energy absorbing boundary
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Sarhangi, G.R.; Najafi, M.; Wang, H.; , "The Stabilization of a Linearized Self-Excited Wave Equation by an Energy Absorbing Boundary," American Control Conference, 1992 , vol., no., pp.2153-2155, 24-26 June 1992
We study the linrized self-excited wave quation tt - A £ -P(s) tg=0, where P(s)>0, P(r)eL(f), in a bounded domain 0cRI with smooth bounar r whee boun y dampig is prst. coniering the prtii Fr 1r.).of he bouM~ ron which w=O on r_ and 1,+ Kmt + L= 0, on r+, find two dif t bounds for P suck that the eneg decays exponentialy in the ener spae - t tends to infinity (Herewe aumer+ n rP == frn > 3). Bothbounds deend on 0(The domain of wave equation in Rn, n > 1). The scond bound also depends on the fed-bak fuctioneK, L ELo(r) or more precisely on a positive funtion k(s) 6 Lo(r +) which detrin K and L on the prttion r+.
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