Existence of minimal nonsquare J-symmetric factorizations for self-adjoint rational matrix functions

[1]  A. Ran,et al.  Minimal Nonsquare J-Spectral Factorization, Generalized Bezoutians and Common Zeros for Rational Matrix Functions , 2003 .

[2]  André C. M. Ran,et al.  Minimal nonsquare spectral factors , 2002 .

[3]  A. Ran,et al.  Nonsquare spectral factors via factorizations of a unitary function , 2002 .

[4]  André C. M. Ran,et al.  Minimal Square Spectral Factors via Triples , 2000, SIAM J. Matrix Anal. Appl..

[5]  D. J. Clements,et al.  A State-Space Approach to Indefinite Spectral Factorization , 2000, SIAM J. Matrix Anal. Appl..

[6]  P. Fuhrmann,et al.  On the Lyapunov equation, coinvariant subspaces and some problems related to spectral factorizations , 2000 .

[7]  L. Rodman,et al.  Bezoutians of rational matrix functions, matrix equations and factorizations , 1999 .

[8]  Andras Varga,et al.  Solutions to the general inner-outer and spectral factorization problems , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[9]  André C. M. Ran,et al.  On self-adjoint matrix polynomials with constant signature , 1997 .

[10]  L. Rodman,et al.  Bezoutians of Rational Matrix Functions , 1996 .

[11]  L. Rodman,et al.  Common Zero Structure of Rational Matrix Functions , 1996 .

[12]  André C. M. Ran,et al.  Minimal square spectral factors , 1995 .

[13]  G. Picci,et al.  Zeros of Spectral Factors, the Geometry of Splitting Subspaces, and the Algebraic Riccati Inequality , 1995 .

[14]  M. Pavon,et al.  Parametrization of all minimal square spectral factors , 1993 .

[15]  David J. Clements,et al.  Rational spectral factorization using state-space methods , 1993 .

[16]  Leiba Rodman,et al.  On symmetric factorizations of rational matrix functions , 1991 .

[17]  Michael Green,et al.  A J-Spectral Factorization Approach to H∞ Control , 1990 .

[18]  G. Cohen,et al.  A J-spectral factorization approach to control , 1990 .

[19]  Leiba Rodman,et al.  Stable Invariant Lagrangian Subspaces: Factorization of Symmetric Rational Matrix Functions and Other Applications , 1990 .

[20]  J. Vandewalle,et al.  An alternative proof for the minimal factorization theorem for rational matrices , 1990 .

[21]  Keith Glover,et al.  Spectral factorization via Hermitian pencils , 1989 .

[22]  J. Vandewalle,et al.  On factorizations of rational matrices , 1988 .

[23]  J. Ball,et al.  Optimal Hankel Norm model reductions and Weiner-Hopf factorization I: the canonical case , 1987 .

[24]  Vladimir Protopopescu,et al.  Boundary Value Problems in Abstract Kinetic Theory , 1987 .

[25]  B. Wyman,et al.  Factorizations of transfer functions , 1986, 1986 25th IEEE Conference on Decision and Control.

[26]  Anders Lindquist,et al.  Forward and backward semimartingale models for gaussian processes with stationary increments , 1985 .

[27]  P. Fuhrmann.  On symmetric rational transfer functions , 1983 .

[28]  André C. M. Ran,et al.  Minimal factorization of selfadjoint rational matrix functions , 1982 .

[29]  L. Finesso,et al.  A characterization of minimal square spectral factors , 1982 .

[30]  Israel Gohberg,et al.  Factorizations of Transfer Functions , 1980 .

[31]  I. Gohberg,et al.  Convolution Equations and Projection Methods for Their Solution , 1974 .

[32]  Vasile Mihai Popov,et al.  Hyperstability of Control Systems , 1973 .

[33]  B. Molinari.  The Stabilizing Solution of the Algebraic Riccati Equation , 1973 .

[34]  J. Willems.  Least squares stationary optimal control and the algebraic Riccati equation , 1971 .

[35]  A. Ran,et al.  J -Symmetric Factorizations and Algebraic Riccati Equations , 2001 .

[36]  L. Lerer,et al.  Generalized Bezoutian, Factorization of Rational Matrix Functions and Matrix Quadratic Equations , 2001 .

[37]  C. Oara,et al.  Generalized Riccati Theory and Robust Control. A Popov Function Approach , 1999 .

[38]  Vlad Ionescu,et al.  Generalized Riccati theory and robust control , 1999 .

[39]  Paul A. Fuhrmann,et al.  On a Hardy space approach to the analysis of spectral factors , 1998 .

[40]  L. Rodman,et al.  Symmetric factorizations and localization of zeroes of rational matrix functions , 1996 .

[41]  Leiba Rodman,et al.  Algebraic Riccati equations , 1995 .

[42]  I. Gohberg,et al.  One-Dimensional Linear Singular Integral Equations , 1992 .

[43]  J. Vandewalle,et al.  Properties of minimal first degree factorizations for arbitrary rational matrices , 1990 .

[44]  L. Lerer,et al.  The Matrix Quadratic Equation and Factorization of Matrix Polynomials , 1989 .

[45]  Leiba Rodman,et al.  Stability of Invariant Lagrangian Subspaces II , 1989 .

[46]  M. A. Kaashoek,et al.  Symmetric Wiener-Hopf Factorization of Selfadjoint Rational Matrix Functions and Realization , 1986 .

[47]  L. Roozemond.  Canonical Pseudo-Spectral Factorization and Wiener-Hopf Integral Equations , 1986 .

[48]  André C. M. Ran,et al.  Left Versus Right Canonical Wiener-Hopf Factorization , 1986 .

[49]  M. A. Kaashoek,et al.  Constructive Methods of Wiener-Hopf Factorization , 1986 .

[50]  Leiba Rodman,et al.  Matrices and indefinite scalar products , 1983 .

[51]  P. Lancaster,et al.  Factorization of selfadjoint matrix polynomials with constant signature , 1982 .

[52]  Van Der Mee,et al.  Semigroup and Factorization Methods in Transport Theory , 1981 .

[53]  M. A. Kaashoek,et al.  Minimal Factorization of Matrix and Operator Functions , 1980 .

[54]  I. Gohberg,et al.  Factorization of Matrix Functions and Singular Integral Operators , 1980 .

[55]  Israel Gohberg,et al.  Minimal Factorizations of Rational Matrix Functions , 1979 .

[56]  Israel Gohberg,et al.  Systems of integral equations on a half-line with kernels depending on the difference of arguments , 1960 .