Numerical Experiment for Stabilization of the Heat Equation by Dirichlet Boundary Control

DOI10.1080/01630563.2013.808210zbMath1279.93084OpenAlexW2028297807MaRDI QIDQ5396933

Andrei Halanay, Carmen Anca Safta, Cornel Marius Murea

Publication date: 4 February 2014

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2013.808210

zbMATH Keywords

numerical methodboundary feedback controlauto-ignitionignition controlunstable heat equation in two dimensions

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (4)

Semiglobal exponential stabilization of nonautonomous semilinear parabolic-like systems ⋮ Explicit exponential stabilization of nonautonomous linear parabolic-like systems by a finite number of internal actuators ⋮ Stabilization of nonautonomous linear parabolic-like equations: oblique projections versus Riccati feedbacks ⋮ Learning an optimal feedback operator semiglobally stabilizing semilinear parabolic equations

Cites Work

• Boundary feedback stabilizability of parabolic equations
• Infinite dimensional backstepping-style feedback transformations for a heat equation with an arbitrary level of instability
• On control design for PDEs with space-dependent diffusivity or time-dependent reactivity
• Boundary Feedback Stabilization of an Unstable Heat Equation
• Boundary control of an unstable heat equation via measurement of domain-averaged temperature
• Boundary Stabilization of Equilibrium Solutions to Parabolic Equations
• Neural network analysis of fin-tube refrigerating heat exchanger with limited experimental data

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