Low-rank iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems

DOI10.1007/s11075-013-9816-6zbMath1305.65158OpenAlexW2039087264WikidataQ115224015 ScholiaQ115224015MaRDI QIDQ483291

Peter Benner, Tatjana Stykel, Mohammad-Sahadet Hossain

Publication date: 16 December 2014

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

Full work available at URL: http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-97630

zbMATH Keywords

alternating direction implicit methodSmith iterationnumerical resultmodel-order reductiondiscrete-time Lyapunov equationslifted state space representationperiodic descriptor systemsperiodic projected Lyapunov equations

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Discrete-time control/observation systems (93C55)

Related Items (16)

Model Order Reduction for Differential-Algebraic Equations: A Survey ⋮ Structure preserving iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems ⋮ Solving the general Sylvester discrete-time periodic matrix equations via the gradient based iterative method ⋮ An iterative algorithm for periodic Sylvester matrix equations ⋮ Efficient techniques for solving the periodic projected Lyapunov equations and model reduction of periodic systems ⋮ A numerical solution of a class of periodic coupled matrix equations ⋮ Periodic conjugate direction algorithm for symmetric periodic solutions of general coupled periodic matrix equations ⋮ Solving the general coupled and the periodic coupled matrix equations via the extended QMRCGSTAB algorithms ⋮ Gradient based approach for generalized discrete-time periodic coupled Sylvester matrix equations ⋮ A finite iterative method for solving the general coupled discrete-time periodic matrix equations ⋮ Developing CGNE algorithm for the periodic discrete-time generalized coupled Sylvester matrix equations ⋮ A Numerical Approach To Generalized Periodic Sylvester Matrix Equation ⋮ 2 Balancing-related model reduction methods ⋮ A new solution of pair matrix equations with arbitrary triangular fuzzy numbers ⋮ Linear time-periodic dynamical systems: an H₂ analysis and a model reduction framework ⋮ Model reduction for discrete-time periodic systems with dissipativity

Uses Software

• RODAS
• Periodic Systems Toolbox

Cites Work

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