Nonlinear feedback control of parabolic partial differential equation systems with time-dependent spatial domains

DOI10.1006/jmaa.1999.6563zbMath0946.93026OpenAlexW2172191484WikidataQ115395378 ScholiaQ115395378MaRDI QIDQ1961035

Panagiotis D. Christofides, Antonios Armaou

Publication date: 17 October 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/ccc425807a98311f7750c80328c10d8b7d5e1dd4

zbMATH Keywords

Galerkin methodstabilizationreaction-diffusion systemsoutput trackinginertial manifoldparabolic PDEnonlinear model reductiontime dependent domaintime-varying output feedbackgeometric control methods

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Reaction-diffusion equations (35K57) Nonlinear systems in control theory (93C10) Geometric methods (93B27) System structure simplification (93B11) Inertial manifolds (35B42)

Related Items

Two side observer design for singular distributed parameter systems ⋮ Boundary Geometric Control of a Nonlinear Diffusion System with Time-Dependent Spatial Domain ⋮ Robust control of parabolic PDE systems with time-dependent spatial domains

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