Nicaise, Serge; Pignotti, Cristina Interior feedback stabilization of wave equations with time dependent delay. (English) Zbl 1215.35098 Electron. J. Differ. Equ. 2011, Paper No. 41, 20 p. (2011). Summary: We study the stabilization problem by interior damping of the wave equation with boundary or internal time-varying delay feedback in a bounded and smooth domain. By introducing suitable Lyapunov functionals exponential stability estimates are obtained if the delay effect is appropriately compensated by the internal damping. Cited in 96 Documents MSC: 35L20 Initial-boundary value problems for second-order hyperbolic equations 93D15 Stabilization of systems by feedback Keywords:wave equation; delay feedback; stabilization; Lyapunov functionals; exponential stability estimates; internal damping PDFBibTeX XMLCite \textit{S. Nicaise} and \textit{C. Pignotti}, Electron. J. Differ. Equ. 2011, Paper No. 41, 20 p. (2011; Zbl 1215.35098) Full Text: EuDML EMIS