Continuous invertibility of a boundary control operator for the wave equation on subcritical intervals in classes of weak generalized solutions
From MaRDI portal
Publication:891121
DOI10.3103/S0278641914040025zbMath1343.49008OpenAlexW2002031447MaRDI QIDQ891121
Publication date: 16 November 2015
Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3103/s0278641914040025
Wave equation (35L05) Existence theories for optimal control problems involving partial differential equations (49J20)
Related Items (2)
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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundary control problem for the one-dimensional Klein-Gordon-Fock equation with a variable coefficient: the case of control by displacements at two endpoints
- 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
- Optimization of the one-endpoint boundary control of vibrations for the case in which the other endpoint is fixed and energy is bounded
- The control of string vibrations in the class of generalized solutions in \(L_2\)
- Exact Controllability, Stabilization and Perturbations for Distributed Systems
- Optimization of boundary controls of string vibrations
- Boundary control of oscillations at one endpoint with the other endpoint fixed in terms of a finite-energy generalized solution of the wave equation
- Approximate solutions to Dirichlet control problems for the wave equation in Sobolev classes and dual observation problems
This page was built for publication: Continuous invertibility of a boundary control operator for the wave equation on subcritical intervals in classes of weak generalized solutions
