Distributed control of linearized Navier-Stokes equations via discretized input/output maps

DOI10.1002/zamm.201100069zbMath1238.93025OpenAlexW2009805752MaRDI QIDQ2883220

Volker Mehrmann, Jan Heiland

Publication date: 11 May 2012

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201100069

zbMATH Keywords

discretizationflow controlreduced order modelinginput/output maps

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Navier-Stokes equations for incompressible viscous fluids (76D05) System structure simplification (93B11) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (2)

Discrete Input/Output Maps and their Relation to Proper Orthogonal Decomposition ⋮ Data-Driven Reduced Model Construction with Time-Domain Loewner Models

Uses Software

• Matlab
• SLICOT
• IFISS

Cites Work

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• Feedback shear layer control for bluff body drag reduction
• Balanced Truncation Model Reduction for a Class of Descriptor Systems with Application to the Oseen Equations
• A generalized mean-field model of the natural and high-frequency actuated flow around a high-lift configuration
• On the controllability of distributed systems
• Second order methods for boundary control of the instationary Navier-Stokes system
• The Velocity Tracking Problem for Navier--Stokes Flows With Boundary Control
• Analysis and Approximation of the Velocity Tracking Problem for Navier--Stokes Flows with Distributed Control
• A Survey of Model Reduction by Balanced Truncation and Some New Results
• MODEL REDUCTION FOR FLUIDS, USING BALANCED PROPER ORTHOGONAL DECOMPOSITION
• Instantaneous Closed Loop Control of the Navier--Stokes System

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