Observability inequality for a wave equation with elastic fastening in the case of critical time interval

DOI10.3103/S0278641914030029zbMath1307.93077MaRDI QIDQ2018648

A. A. Dryazhenkov

Publication date: 25 March 2015

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

zbMATH Keywords

boundary controlwave equationobservability inequalitycritical interval

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Observability (93B07) Wave equation (35L05)

Related Items (3)

Approximate solution to a time optimal boundary control problem for the wave equation ⋮ Approximations to time-optimal boundary controls for weak generalized solutions of the wave equation ⋮ Numerical solution of the positional boundary control problem for the wave equation with unknown initial data

Cites Work

• Boundary control of the displacement at one end with the other end free for a process described by the telegraph equation with a variable coefficient
• Optimal boundary control of string vibrations by a force under elastic fixing
• Threshold optimization in observability inequality for the wave equation with homogeneous Robin-type boundary condition
• A stable method for solving linear equations with nonuniformly perturbed operator
• The wave equation with a boundary control in the case of elastic fixing. I
• Boundary control of oscillations at one endpoint with the other endpoint fixed in terms of a finite-energy generalized solution of the wave equation

This page was built for publication: Observability inequality for a wave equation with elastic fastening in the case of critical time interval