Balanced realization and model reduction of 3-D separable-denominator transfer functions

DOI10.1016/0016-0032(88)90083-XzbMath0642.93016OpenAlexW1995528092MaRDI QIDQ1101383

Takao Hinamoto, Jiro Shimonishi, Sadao Maekawa, Anastasios N. Venetsanopoulos

Publication date: 1988

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(88)90083-x

zbMATH Keywords

model reductioncontrollability and observability Gramiansbalanced formthree-dimensional (3-D) separable-denominator state-space model

Mathematics Subject Classification ID

Controllability (93B05) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Minimal systems representations (93B20) Observability (93B07) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (1)

Optimal synthesis of multidimensional state-space digital filters: A general analysis

Cites Work

• A new set of invariants for linear systems--Application to reduced order compensator design
• On generalized balanced realizations
• State reconstruction in low-sensitivity design of 3-dimensional systems
• Transfer function computation and factorisation of 3-dimensional systems in state-space
• Linear time-variable systems: Balancing and model reduction
• Minimal balanced realization of transfer function matrices using Markov parameters
• Separately balanced realization of two-dimensional separable-denominator transfer functions†
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Synthesis of minimum roundoff noise fixed point digital filters
• Approximation of 2-D separable in denominator filters

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