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Factorization of a rational matrix: The singular case
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Introduction to Formal Realizability Theory-I
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Linear Multivariable Systems
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Linear Multivariable Control: a Geometric Approach
inferredcites →https://doi.org/10.1007/978-3-0348-6293-6openalex-snapshot
Minimal Factorization of Matrix and Operator Functions
inferredcites →https://doi.org/10.1007/978-3-662-22673-5openalex-snapshot
Linear Multivariable Control
inferredcites →https://doi.org/10.1007/bf01691919openalex-snapshot
On minimal factorizations of rational matrix functions
inferredcites →https://doi.org/10.1007/bfb0044441openalex-snapshot
Reducing subspaces : computational aspects and applications in linear systems theory
inferredcites →https://doi.org/10.1007/bfb0062094openalex-snapshot
Reducing subspaces: Definitions, properties and algorithms
inferredcites →https://doi.org/10.1016/0016-0032(72)90131-7openalex-snapshot
Control and dynamic systems
inferredcites →https://doi.org/10.1016/0024-3795(79)90035-1openalex-snapshot
The computation of Kronecker's canonical form of a singular pencil
inferredcites →https://doi.org/10.1016/0024-3795(83)90069-1openalex-snapshot
The eigenstructure of an arbitrary polynomial matrix: computational aspects
inferredcites →https://doi.org/10.1016/b978-0-12-012712-2.50012-3openalex-snapshot
Discrete Riccati Equations: Alternative Algorithms, Asymptotic Properties, and System Theory Interpretations
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Linear Differential Equations and Kronecker's Canonical Form
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Recent Advances in Numerical Analysis
inferredcites →https://doi.org/10.1080/00207177908922771openalex-snapshot
Properties of the system matrix of a generalized state-space system†
inferredcites →https://doi.org/10.1109/cdc.1978.267914openalex-snapshot
Properties of the system matrix of a generalized state-space system
inferredcites →https://doi.org/10.1109/tac.1974.1100700openalex-snapshot
Spectral factorization of a finite-dimensional nonstationary matrix covariance
inferredcites →https://doi.org/10.1109/tac.1981.1102554openalex-snapshot
An algebraic theory for design of controllers for linear multivariable systems--Part I: Structure matrices and feedforward design
inferredcites →https://doi.org/10.1109/tac.1981.1102559openalex-snapshot
The generalized eigenstructure problem in linear system theory
inferredcites →https://doi.org/10.1109/tcs.1975.1084106openalex-snapshot
On the factorization of a nonsingular rational matrix
inferredcites →https://doi.org/10.1109/tcs.1981.1085000openalex-snapshot
Minimal cascade factorization of real and complex rational transfer matrices
inferredcites →https://doi.org/10.1109/tit.1961.1057636openalex-snapshot
On the factorization of rational matrices
inferredcites →https://doi.org/10.1109/tsmc.1972.4309115openalex-snapshot
State-Space and Multivariable Theory
inferredcites →https://doi.org/10.1137/0113034openalex-snapshot
Irreducible Realizations and the Degree of a Rational Matrix
inferredcites →https://doi.org/10.1137/0311022openalex-snapshot
Equivalence Relations for the Algebraic Riccati Equation
inferredcites →https://doi.org/10.1137/0313029openalex-snapshot
Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
inferredcites →https://doi.org/10.1137/0318020openalex-snapshot
Nonsingular Factors of Polynomial Matrices and $(A,B)$-Invariant Subspaces
inferredcites →https://doi.org/10.1137/0710024openalex-snapshot
An Algorithm for Generalized Matrix Eigenvalue Problems
inferredcites →https://doi.org/10.1137/0902010openalex-snapshot
A Generalized Eigenvalue Approach for Solving Riccati Equations
inferredcites →https://doi.org/10.1137/1015095openalex-snapshot
Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
inferredcites →https://doi.org/10.1145/355694.355700openalex-snapshot
Algorithm 506: HQR3 and EXCHNG: Fortran Subroutines for Calculating and Ordering the Eigenvalues of a Real Upper Hessenberg Matrix [F2]
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/978-94-009-5374-1_4openalex-snapshot
Minimal Factorization, Linear Systems and Integral Operators
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(J, J?)-Spectral factorization and conjugation for discrete-time descriptor system
inferred← citeshttps://doi.org/10.1007/bf01204266openalex-snapshot
Generalized pseudoinverses of matrix valued functions
inferred← citeshttps://doi.org/10.1007/bf02140690openalex-snapshot
Proper deflating subspaces: properties, algorithms and applications
inferred← citeshttps://doi.org/10.1007/bfb0044441openalex-snapshot
Reducing subspaces : computational aspects and applications in linear systems theory
inferred← citeshttps://doi.org/10.1016/0022-1236(92)90037-jopenalex-snapshot
Spectral factorization of rectangular rational matrix functions with application to discrete Wiener-Hopf equations
inferred← citeshttps://doi.org/10.1016/0024-3795(86)90306-xopenalex-snapshot
Transfer functions and operator theory
inferred← citeshttps://doi.org/10.1016/0024-3795(87)90171-6openalex-snapshot
Polynomial systems and Kronecker invariants
inferred← citeshttps://doi.org/10.1016/0024-3795(90)90144-2openalex-snapshot
Rational and polynomial matrix factorizations via recursive pole-zero cancellation
inferred← citeshttps://doi.org/10.1016/0024-3795(92)90020-bopenalex-snapshot
The continous kernel of a nonsquare rational matrix function
inferred← citeshttps://doi.org/10.1016/0024-3795(94)90372-7openalex-snapshot
A spectral factorization algorithm for discrete-time descriptor systems via generalized eigenproblems
inferred← citeshttps://doi.org/10.1016/j.laa.2023.02.015openalex-snapshot
On realization of left and right products of rational functions
inferred← citeshttps://doi.org/10.1016/j.sysconle.2016.02.019openalex-snapshot
Squaring down with zeros cancellation in generalized systems
inferred← citeshttps://doi.org/10.1016/s0167-6911(96)00078-3openalex-snapshot
An improved algorithm for the computation of structural invariants of a system pencil and related geometric aspects
inferred← citeshttps://doi.org/10.1109/31.7583openalex-snapshot
On factorizations of rational matrices
inferred← citeshttps://doi.org/10.1109/81.153635openalex-snapshot
Minimal factorization of rational matrix functions
inferred← citeshttps://doi.org/10.1109/9.280787openalex-snapshot
Spectral and inner-outer factorizations through the constrained Riccati equation
inferred← citeshttps://doi.org/10.1109/cdc.1994.411099openalex-snapshot
Fast inner-outer factorization
inferred← citeshttps://doi.org/10.1109/cdc.1996.577454openalex-snapshot
An algorithm for computing the staircase form of a system pencil and related geometric aspects
inferred← citeshttps://doi.org/10.1109/icstcc.2014.6982383openalex-snapshot
Minimal factorization of transfer matrices for generalized systems
inferred← citeshttps://doi.org/10.1109/iscas.1988.15138openalex-snapshot
Fundamental factorization theorems for rational matrices over complex or real fields
inferred← citeshttps://doi.org/10.1109/iscas.1990.112339openalex-snapshot
On prime factors of nonsingular rational matrices
inferred← citeshttps://doi.org/10.1109/tac.2014.2378931openalex-snapshot
Explicit Solutions to Separable Problems in Optimal Cooperative Control
inferred← citeshttps://doi.org/10.1137/s0895479895286025openalex-snapshot
H -Selfadjoint and H -Unitary Matrix Pencils
inferred← citeshttps://doi.org/10.11499/sicejl1962.35.6_467openalex-snapshot
《第2回》伝達関数の分解, スペクトル分解と Riccati 方程式
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Numerical Algorithms and Software for Spectral Factorization Problems
inferred← citeshttps://doi.org/10.9746/sicetr1965.31.315openalex-snapshot
Factorization of Rational Function Matrices via Descriptor Representation and Its Application to the Spectral Factorization
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