Chr. Heij, A.C.M. Ran and F. van Schagen:
Introduction to Mathematical Systems Theory:
Linear Systems, Identification and Control.
Birkhäuser, Basel, 2006.
ISBN 3-7643-7548-5
Below only recent papers are listed in chronological order. For a complete overview of my publications that is listed according to topic see this list.
64.
Classes of plus-matrices in finite dimensional indefinite scalar
product spaces;
Integral Equations and Operator Theory (Krein-volume); 30
(1998),
432-451;
with C.V.M. van der Mee and L. Rodman.
65.
Norm bounds for Volterra integral operators and
time varying linear systems with finite horizon;
Operator Theory and its Applications (Langer sixtieth birthday
volume), OT 106 (eds. A. Dijksma, I. Gohberg, M.A. Kaashoek and R.
Mennicken), 1998, 275-290;
with M.A. Kaashoek.
66.
Factorization of transfer functions of Pritchard-Salamon systems;
Mathematische Nachrichten; 196 (1998), 71-102,
with M.A. Kaashoek and C.V.M. van der Mee.
67.
Stability of selfadjoint square roots and polar
decompositions in indefinite scalar product spaces;
Linear Algebra and its Applications; 302-303 (1999),
77-104,
with C.V.M. van der Mee and L. Rodman.
68.
Stability of polar decompositions;
Mat. Glasnik; 35 (2000), 137-148.
with C.V.M. van der Mee and L. Rodman.
69.
Stability of stationary transport equations with accretive
collision operators;
Journal of Functional Analysis, 174 (2000), 478-512,
with C.V.M. van der Mee and L. Rodman.
paper
70.
Stability of pseudo-spectral factorizations;
in:
Operator Theory and Analysis,
The M.A. Kaashoek Anniversary Volume, OT 122
(eds. H. Bart, I. Gohberg, A.C.M. Ran), Birkhäuser Verlag, Basel,
2001, 359-383;
with L. Rodman and D. Temme.
71.
Minimal square spectral factors of positive semidefinite
rational matrix functions;
SIAM J. Matrix Analysis and Appl. 22 (2001), 1222-1244
with M.A. Petersen.
paper
72.
J-symmetric factorizations and algebraic Riccati equations;
Proceedings IWOTA 1998, OT 124
(eds. A. Dijksma, M.A. Kaashoek, A.C.M. Ran), Birkhäuser Verlag, Basel,
2001, 319-360;
with I. Karelin and L. Lerer.
73.
Real Hamiltonian Polar Decompositions;
SIAM J. Matrix Analysis and Appl.
22 (2001), 1263-1273
with C.V.M. van der Mee and L. Rodman
paper
74.
On an iteration method for solving a class of nonlinear matrix
equations;
SIAM J. Matrix Analysis and Appl.;23 (2001) 632-645
with S.M. El-Sayed.
ps-file
75.
Minimal nonsquare spectral factors;
Linear Algebra and its Applications 351-352 (2002), 553-565
with M.A. Petersen.
ps-file
76.
Invariant Subspaces of infinite dimensional
Hamiltonians
and solutions of the corresponding Riccati
equations;
Linear Operators and Matrices,
The Peter Lancaster Anniversary Volume,
Operator Theory: Advances and Applications,130, 2001,
235-254
with H. Langer and B. van de Rotten.
ps-file
77.
Minimal nonsquare spectral factors via factorizations of
unitary functions;
Linear Algebra and its Applications 351-352 (2002), 567-583
with M.A. Petersen.
ps-file
78.
A Class of Robustness Problems in Matrix Analysis.
in the proceedings of the workshop in
honor of the 60th birthday of H. Dym,
Operator Theory: Advances and Applications, 134,
337-383
with L. Rodman.
ps-file
79.
On the Nonlinear Matrix Equation
X+A*F(X)A=Q:
Solutions and Perturbation Theory;
Linear Algebra and its Applications
346 (2002) 15-26
with M.C.B. Reurings.
ps-file
80.
Polar Decompositions and Related Classes of Operators in Spaces
\Pik;
Integral Equations and Operator Theory 44 (2002),
50-70,
with C.V.M. van der Mee and L. Rodman.
81.
The symmetric linear matrix equation;
Electronic Journal of linear algebra 9 (2002), 93-107
ps-file
Web site for ELA
with M.C.B. Reurings.
82.
Minimal Nonsquare $J$-Spectral Factorization, Generalized
Bezoutians and
Common Zeros for Rational Matrix Functions.
Integral Equations and Operator Theory 47 (2003),
197-216
ps-file
with M.A. Petersen.
83.
LU- versus UL-Factorization of Integral Operators with
Semi-Separable Kernel.
Integral Equations and Operator Theory 50 (2004), 549-558
ps-file
with M.A. Petersen.
84.
A fixed point theorem in partially ordered sets
and some applications to matrix equations.
Proceedings of the American Mathematical Society
132 (2004), 1435-1443
ps-file
with M.C.B. Reurings.
85.
A nonlinear matrix equation connected to interpolation
theory.
Linear Algebra and its Applications 379 (2004),
289-302
ps-file
with M.C.B. Reurings.
86.
Existence of Minimal Nonsquare $J$-Symmetric Factorizations
for Self-Adjoint Rational Matrix Functions.
Linear Algebra and its Applications 379 (2004),
159-178
with L. Lerer and M.A. Petersen.
ps-file
87.
Semidefinite invariant subspaces: degenerate inner products.
Proceedings IWOTA 2002,
Operator Theory: Advances and Applications 149 (2004), 475--494
with Chr. Mehl and L. Rodman.
ps-file
88.
Perturbation Results for Exponentially Dichotomous Operators
on General Banach Spaces.
Journal of Functional Analysis 201 (2004), 193--213
with C.V.M. van der Mee.
ps-file
89.
M.A. Petersen and A.C.M. Ran:
Symmetric nonsquare factorization of selfadjoint rational
matrix functions and algebraic Riccati inequalities,
Proceedings of MTNS 2002
pdf-file
90.
A.C.M. Ran:
Necessary and sufficient conditions for existence of
J-spectral factorization for para-Hermitian rational matrix functions.
Automatica 39 (2003), 1935-1939
preprint
91.
L. Lerer and A.C.M. Ran:
A new inertia theorem for Stein equations,
inertia of invertible hermitian block Toeplitz matrices and matrix
orthogonal polynomials.
Integral Equations and Operator Theory 47 (2003),
339-360
ps-file
92.
G.J. Groenewald, M.A. Petersen and A.C.M. Ran:
Characterization of Integral Operators with Semi-Separable Kernel with Symmetries.
Journal of Functional Analysis
219 (2005), 255-284 paper .
93.
P. Bubak, C.V.M. van der Mee and A.C.M. Ran:
Approximation of Solutions of Riccati Equations.
SIAM J. Control and Opt. 44, (2005), 1419-1435.
preprint
94.
Chr. Mehl, A.C.M. Ran and L. Rodman:
Polar decomposition of normal operators in indefinite inner
product spaces.
Proceedings of third Workshop on Indefinite Inner Products,
to appear in the OT-series 162, (2006) 277-292.
preprint
95.
C.V.M. van der Mee and A.C.M. Ran:
Additive and Multiplicative Perturbations of Exponentially
Dichotomous Operators on General Banach Spaces
Proceedings IWOTA 2003
Operator Theory: Advances and Applications 160 (2005), 413-424.
preprint
96.
Chr. Mehl, A.C.M. Ran and L. Rodman:
Hyponormal matrices and semidefinite invariant subspaces in
indefinite inner products.
Electronic Journal of Linear Algebra 11 (2004), 192-204
preprint
97.
H. Bart, I. Gohberg, M.A. Kaashoek and A.C.M. Ran:
Schur Complements and State Space Realizations.
Linear Algebra and its Applications 399 (2005), 203-224.
98.
A.C.M. Ran, M.C.B. Reurings and L. Rodman:
A perturbation analysis for nonlinear selfadjoint operator equations.
SIAM J. Matrix Anal. Appl. 28 (2006), no. 1, 89--104
99.
Chr. Mehl, A.C.M. Ran and L. Rodman:
Invariant maximal positive subspaces and polar decompositions.
Integral Equations and Operator Theory 56 (2006), no. 1,
83--91.
100.
G.J. Groenewald, M.A. Petersen and A.C.M. Ran:
Lower-Upper and Upper-Lower Factorization of Integral Operators
with Semi-Separable Kernel and Symmetries.
Submitted for publication.
101.
D. Alpay, A.C.M. Ran and L. Rodman:
Basic Classes of Matrices with respect to Quaternionic
Indefinite Inner Product Spaces.
Linear Algebra and its Applications 416 (2006), 242-269.
102.
J.H. Fourie, G.J. Groenewald and A.C.M. Ran:
Positive real matrices in indefinite inner product
spaces and invariant maximal semi definite subspaces.
Accepted for publication in
Linear Algebra and its Applications .
103.
Chr. Mehl, A.C.M. Ran and L. Rodman:
Extension to maximal semidefinite invariant subspaces for
hyponormal matrices in indefinite inner products.
Linear Algebra and its Applications 421 (2007), 110-116.
104.
J.S. Kes and A.C.M. Ran:
On the relation between $XX^{\left[*\right]}$ and
$X^{\left[*\right]}X$ in an indefinite inner product space.
Accepted for publication in
Operators and Matrices
105.
Chr. Mehl, V. Mehrmann, A.C.M. Ran and L. Rodman:
Perturbation analysis of Lagrangian invariant subspaces of
symplectic
matrices.
Submitted for publication.
106.
A.C.M. Ran and L. Rodman:
On the Index of Conditional Stability of Stable Invariant
Lagrangian
Subspaces.
Submitted for publication.
107.
L. Lerer, I. Margulis, and A.C.M. Ran:
Inertia theorems for infinite dimensional operators.
Submitted for publication.