Feedback boundary stabilization of wave equations with interior delay

Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary

Claude Bardos, Gilles Lebeau, Jeffrey Rauch · SIAM Journal on Control and Optimization · 1992 · 1.5K citations

Natural Sciences, Physics, Dynamical Systems +16

Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks

Serge Nicaise, Cristina Pignotti · SIAM Journal on Control and Optimization · 2006 · 659 citations

Natural Sciences, Mathematics, Physics +17

An Example on the Effect of Time Delays in Boundary Feedback Stabilization of Wave Equations

Richard Datko, John E. Lagnese, Michael P. Polis · SIAM Journal on Control and Optimization · 1986 · 568 citations

Natural Sciences, Mathematics, Dynamical Systems +14

Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping

Communications in Partial Differential Equations · 1990 · 467 citations

Natural Sciences, Mathematics, Physics +11

Not All Feedback Stabilized Hyperbolic Systems are Robust with Respect to Small Time Delays in Their Feedbacks

Richard Datko · SIAM Journal on Control and Optimization · 1988 · 427 citations

Natural Sciences, Physics, Dynamical Systems +16