The cascade decompositions of a given system vs the linear fractional decompositions of its transfer function

DOI10.1007/BF01694044zbMath0497.93006MaRDI QIDQ5905282

Joseph A. Ball, J. William Helton

Publication date: 1982

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

state spacedecomposition of the systemcascade decompositionsdecomposition of a transfer functionlinear fractional decompositionsreducing pair of subspacessystem with given transfer function

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Minimal systems representations (93B20) Transformations (93B17) Invariant subspaces of linear operators (47A15) Control/observation systems in abstract spaces (93C25) General systems theory (93A99)

Related Items (1)

Transfer functions and operator theory

Cites Work

• Minimal factorization of matrix and operator functions
• Similarity of operator blocks and canonical forms. I. General results, feedback equivalence and Kronecker indices
• Discrete time systems, operator models, and scattering theory
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