The Remarkable Effectiveness of Time-Dependent Damping Terms for Second Order Evolution Equations

DOI10.1137/15M1029485zbMath1338.35047arXiv1506.06915OpenAlexW2215161500MaRDI QIDQ2807333

Marina Ghisi, Massimo Gobbino, Alain Haraux

Publication date: 20 May 2016

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06915

zbMATH Keywords

decay ratesfeedback stabilizationexponential decaypulsating coefficientsultra-exponential decay

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Linear systems in control theory (93C05) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (8)

Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity ⋮ Strong and Exponential Stabilization for a Class of Second Order Semilinear Systems ⋮ Convergence Rates of Inertial Forward-Backward Algorithms ⋮ Rate of convergence of inertial gradient dynamics with time-dependent viscous damping coefficient ⋮ Asymptotic stabilization of inertial gradient dynamics with time-dependent viscosity ⋮ Fast Proximal Methods via Time Scaling of Damped Inertial Dynamics ⋮ Convergence rates for the heavy-ball continuous dynamics for non-convex optimization, under Polyak-Łojasiewicz condition ⋮ Stabilisation of second-order bilinear and semilinear systems

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