Parallel Implementation of LQG Balanced Truncation for Large-Scale Systems

DOI10.1007/978-3-540-78827-0_24zbMath1229.93010OpenAlexW2117284773MaRDI QIDQ3616824

Peter Benner, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí, Alfredo Remón, José M. Badía, Rafael Mayo

Publication date: 26 March 2009

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-78827-0_24

zbMATH Keywords

Newton's methodalgebraic Riccati equationmodel reductionparallel algorithmsLQG balancing

Mathematics Subject Classification ID

Linear systems in control theory (93C05) System structure simplification (93B11) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Large-scale systems (93A15)

Related Items (3)

Model order reduction for linear and nonlinear systems: a system-theoretic perspective ⋮ Updating incomplete factorization preconditioners for model order reduction ⋮ Numerical Linear Algebra for Model Reduction in Control and Simulation

Uses Software

• LYAPACK

Cites Work

• Unnamed Item
• Model reduction for control system design
• A new set of invariants for linear systems--Application to reduced order compensator design
• The ADI Model Problem
• An exact line search method for solving generalized continuous-time algebraic Riccati equations
• A Cyclic Low-Rank Smith Method for Large Sparse Lyapunov Equations
• Low Rank Solution of Lyapunov Equations
• Approximation of Large-Scale Dynamical Systems

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