An algorithm for constructing a minimal partial realization in the multivariable case

DOI10.1016/S0167-6911(97)00059-5zbMath0901.93011MaRDI QIDQ1391043

Margreet Kuijper

Publication date: 22 July 1998

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

iterative algorithmsimpulse responseBerlekamp-Massey algorithmbehaviorsmultivariable linear systemsexact modelingminimal partial realizations

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Minimal systems representations (93B20) Realizations from input-output data (93B15)

Related Items (11)

A general approach to multivariable recursive interpolation ⋮ Fast skew-feedback shift-register synthesis ⋮ Differentiable structure of realizable Markov parameters ⋮ On the geometry of the generalized partial realization problem ⋮ A lattice-based minimal partial realization algorithm for matrix sequences of varying length ⋮ Linear feedback shift registers and the minimal realization problem ⋮ A Lattice-Based Minimal Partial Realization Algorithm ⋮ Recursive exact \(H_{\infty }\)-identification from impulse-response measurements ⋮ A linear algebraic approach to multisequence shift-register synthesis ⋮ Regularity of the Kronecker stratification of realisable Markov parameters ⋮ Parametrising the solutions of the generalised partial realisation problem through an atlas of coordinates

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the partial realization problem
• From time series to linear system, II. Exact modelling
• A canonical matrix continued fraction solution of the minimal (partial) realization problem
• A simple Hankel interpretation of the Berlekamp-Massey algorithm
• The Sequential Construction of Minimal Partial Realizations from Finite Input–Output Data
• A generalization of the Berlekamp-Massey algorithm for multisequence shift-register synthesis with applications to decoding cyclic codes
• On recursiveness and related topics in linear systems
• Paradigms and puzzles in the theory of dynamical systems
• Minimal torsion spaces and the partial input/output problem
• A behavioral approach to linear exact modeling
• On constructing a shortest linear recurrence relation
• A minimal realization algorithm for matrix sequences
• Shift-register synthesis and BCH decoding

This page was built for publication: An algorithm for constructing a minimal partial realization in the multivariable case