Stabilization of wave equations with boundary delays and non-collocated feedback controls

Exponential stability of 1-d wave equation with the boundary time delay based on the interior control

“…For example, Li et al [11] estimated the decay rates of the nonlinear wave equation with a time-varying delay, based on the method of the Riemannian geometry. Researchers [14,16,18,24,25,23,9] obtained the exponential stability of wave equations with the input delays under certain conditions by spectral analysis. Scholars [1,8,12,19]…”

Exponential stability of 1-d wave equation with the boundary time delay based on the interior control

“…For example, Li et al [11] estimated the decay rates of the nonlinear wave equation with a time-varying delay, based on the method of the Riemannian geometry. Researchers [14,16,18,24,25,23,9] obtained the exponential stability of wave equations with the input delays under certain conditions by spectral analysis. Scholars [1,8,12,19]…”

Exponential stability of 1-d wave equation with the boundary time delay based on the interior control

“…For example, Li et al [11] estimated the decay rates of the nonlinear wave equation with a time-varying delay, based on the method of the Riemannian geometry. Researchers [14,16,18,24,25,23,9] obtained the exponential stability of wave equations with the input delays under certain conditions by spectral analysis. Scholars [1,8,12,19]…”

Exponential stability of 1-d wave equation with the boundary time delay based on the interior control

“…For example, Li et al [11] estimated the decay rates of the nonlinear wave equation with a time-varying delay, based on the method of the Riemannian geometry. Researchers [14,16,18,24,25,23,9] obtained the exponential stability of wave equations with the input delays under certain conditions by spectral analysis. Scholars [1,8,12,19]…”