On a boundary controllability problem for a system governed by the two-dimensional wave equation

DOI10.1134/S1064230719010131zbMath1432.93034OpenAlexW2939534775MaRDI QIDQ2289470

I. V. Romanov, Alexei S. Shamaev

Publication date: 28 January 2020

Published in: Journal of Computer and Systems Sciences International (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064230719010131

zbMATH Keywords

boundary controllabilitytwo-dimensional wave equationplane membrane

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20)

Related Items (4)

Optimal control of longitudinal motion of an elastic rod using boundary forces ⋮ Modeling and optimizing the turn of a loaded elastic rod controlled by an electric drive ⋮ Exact bounded boundary controllability to rest for the two-dimensional wave equation ⋮ Suppression of oscillations of thin plate by bounded control acting to the boundary

Cites Work

• Energie decay estimates and exact boundary value controllability for the wave equation in a bounded domain
• Decay of solutions of wave equations in a bounded region with boundary dissipation
• Bounded controls in distributed-parameter systems
• Exact bounded boundary controllability to rest for the two-dimensional wave equation
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• Asymptotic stability and energy decay rates for solutions of hyperbolic equations with boundary damping
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
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