Singular perturbation approximation of bounded real balanced and stochastically balanced transfer matrices

DOI10.1080/002071797224739zbMath0888.93013OpenAlexW2120496355MaRDI QIDQ3127932

G. Nunnari, Giovanni Muscato, Luigi Fortuna

Publication date: 7 June 1998

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/002071797224739

zbMATH Keywords

reduced-order modelpassive systemsminimal systems representationsbounded real balanced systemsrelative multiplicative error reduction methodsingular perturbation approximations

Mathematics Subject Classification ID

Perturbations in control/observation systems (93C73) Minimal systems representations (93B20) System structure simplification (93B11)

Related Items (8)

Error bound for non-zero initial condition using the singular perturbation approximation method ⋮ Discrete model reduction preserving bounded realness ⋮ Error bounds in the gap metric for dissipative balanced approximations ⋮ Positive-real systems under lossless transformations: invariants and reduced order models ⋮ Balancing singular discrete-time systems ⋮ Balanced model reduction of linear systems with nonzero initial conditions: singular perturbation approximation ⋮ Reduced-order modeling of linear time invariant systems using big bang big crunch optimization and time moment matching method ⋮ The generalised singular perturbation approximation for bounded real and positive real control systems

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