Exact boundary controllability of coupled hyperbolic equations

DOI10.2478/amcs-2013-0052zbMath1284.93038OpenAlexW2092258390MaRDI QIDQ5409744

Luz de Teresa, Abdon Eddy Choque Rivero, Sergeĭ Anatol'evich Avdonin

Publication date: 14 April 2014

Published in: International Journal of Applied Mathematics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amcs-2013-0052

zbMATH Keywords

controllabilitymoment problemRiesz basescoupled wave equations

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Initial value problems for second-order hyperbolic systems (35L52)

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Cites Work

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• Indirect controllability of locally coupled systems under geometric conditions
• Recent results on the controllability of linear coupled parabolic problems: a survey
• Riesz systems and controllability of heat equations with memory
• Study of exponential stability of coupled wave systems via distributed stabilizer
• Controls insensitizing the norm of the solution of a semilinear heat equation
• Locally distributed desensitizing controls for the wave equation
• Exact controllability of a cascade system of conservative equations
• Temperature and Heat Flux Dependence/Independence for Heat Equations with Memory
• Source localization and sensor placement in environmental monitoring
• Sensor network design for the estimation of spatially distributed processes
• Regional Observation and Sensors
• Unique continuation principle for systems of parabolic equations
• Insensitizing Controls for the 1‐D Wave Equation
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• Stabilizability of coupled wave equations in parallel under various boundary conditions
• A Two-Level Energy Method for Indirect Boundary Observability and Controllability of Weakly Coupled Hyperbolic Systems
• Waves in Residual-Saturated Porous Media
• The Matrix Exponential
• Exact Controllability and Stabilization of a Vibrating String with an Interior Point Mass
• Simultaneous control problems for systems of elastic strings and beams