Structure preserving iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems

DOI10.1007/s11075-017-0288-yzbMath1377.93053OpenAlexW2589553349MaRDI QIDQ1689443

Mohammad-Sahadet Hossain, Peter Benner

Publication date: 12 January 2018

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11858/00-001M-0000-002C-C834-B

zbMATH Keywords

Smith iterationmodel order reductionlifted state space representationperiodic descriptor systemsperiodic projected Lyapunov equations

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) System structure simplification (93B11) Large-scale systems (93A15)

Related Items (4)

Matrix iterative methods for solving the Sylvester-transpose and periodic Sylvester matrix equations ⋮ Periodic conjugate direction algorithm for symmetric periodic solutions of general coupled periodic matrix equations ⋮ A finite iterative method for solving the general coupled discrete-time periodic matrix equations ⋮ 2 Balancing-related model reduction methods

Uses Software

• Periodic Systems Toolbox

Cites Work

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