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

H. Bart, I. Gohberg, M.A. Kaashoek and A.C.M. Ran:

*Factorization of Matrix and Operator Functions: The State Space
Method.*

Series: Operator Theory: Advances and Applications

Subseries: Linear Operators and Linear Systems , Vol. 178

Birkhäuser, Basel, 2007. ISBN: 978-3-7643-8267-4
Click here for
more information.

A Maple worksheets for section 11.6 is available here ,
a Maple worksheet for Section 12.5 is available here.

H. Bart, I. Gohberg, M.A. Kaashoek and A.C.M. Ran:

*A State Space
Approach to Canonical Factorization with Applications.*

Series: Operator Theory: Advances and Applications

Subseries: Linear Operators and Linear Systems , Vol. 200

Birkhäuser, Basel, 2010. ISBN: 978-3-7643-8752-5
Click here for more information.

Below papers from 1998 onwards 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
\Pi_{k};

*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,
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.

* Linear Algebra and its Applications * 424 (2007), 346-370.

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.

* Operators and Matrices* 1 (2007),
181-197.

105.
Chr. Mehl, V. Mehrmann, A.C.M. Ran and L. Rodman:

Perturbation analysis of Lagrangian invariant subspaces of
symplectic
matrices.

*
Linear
and Multilinear Algebra.* 57 (2009), 141-184.

106.
A.C.M. Ran and L. Rodman:

On the Index of Conditional Stability of Stable Invariant
Lagrangian
Subspaces.

*SIAM J. Matrix Anal. Appl.* 29
(2007), 1181-1190.

107.
L. Lerer, I. Margulis, and A.C.M. Ran:

Inertia theorems for infinite dimensional operators.

*Operators and Matrices * 2 (2008), 153-166.

108.
Chr. Mehl, V. Mehrmann, A.C.M. Ran and L. Rodman:

Perturbation
analysis of Lagrangian invariant subspaces of symplectic matrices.
*Linear
and Multilinear Algebra. * 57 (2009), 141-184.

109.
A.C.M. Ran and M. Wojtylak:

Analysis of spectral points of the operators
$T^{[*]}T$ and $TT^{[*]}$ in a Krein space.
*Integral Equations and Operator Theory.*
63 (2009), 263-280.

110.
A.E. Frazho, M.A. Kaashoek and A.C.M. Ran:

The non-symmetric discrete
algebraic Riccati equation and canonical factorization of rational
matrix functions on the unit circle.
*Integral Equations and Operator The-
ory. *66 (2010), 215-229.

111. A.C.M. Ran and L. Rodman:

Ranges of Sylvester maps and a minimal
rank problem.
*Electronic Lin. Alg.* 20 (2010), 126-135.

112. A.C.M. Ran and M. Wojtylak:

The pair of operators $T^{[*]}T$ and $TT^{[*]}$:
J-dilations and canonical forms.

* Integral Equations and Operator Theory.*
68 (2010) 313-335.

113. Chr. Mehl, V. Mehrmann, A.C.M. Ran and L. Rodman:

Eigenvalue
perturbation theory of structured matrices under generic structured rank
one perturbations.

*
Linear Algebra and its Applications, *435 (2011), 687-
716.

(Matheon, DFG Research Center Mathematics for key technologies
in Berlin, TU Berlin report no. 673)

114. C. Mehl, V. Mehrmann, A.C.M. Ran, L. Rodman:

Perturbation theory
of selfadjoint matrices and sign characteristics under generic structured
rank one perturbations.

*
Linear Algebra and
its Applications. * 436 (2012), 4027-4042.

(Matheon, DFG Research Center Mathematics for key
technologies in Berlin, TU Berlin report no. 675.)

115. F. Philipp, A.C.M. Ran and M. Wojtylak:

Local definitizability of $TT^{[*]}$
and $T^{[*]}T$.

*
Integral Equations and Operator
Theory.* 71 (2011), 491-508.

116. L. Lerer and A.C.M. Ran:

The discrete algebraic Riccati equation and
Hermitian block Toeplitz matrices.

In: * A Panorama of Modern Operator Theory and Related Topics
The Israel Gohberg Memorial Volum* ( eds. Dym, H.; Kaashoek, M.A.; Lancaster, P.; Langer, H.; Lerer, L. ) OT, Volume 218, (2012), 495-512.

117. A.E. Frazho, M.A. Kaashoek and A.C.M. Ran:

Right invertible multiplication
operators and stable rational matrix solutions to an associate
Bezout equation, I. the least squares solution.

* Integral Equations and Operator Theory.* 70 (2011), no. 3, 395-418.

118. C. Mehl, V. Mehrmann, A.C.M. Ran, L. Rodman:

Jordan forms of real
and complex matrices under rank one perturbations.

Submitted for publication.

119. Peter Dickinson, Joost Hulshof, Andre Ran, Majid Salmani, Martijn Zaal:

Optimal Flood Control.

Submitted for publication.

120. A.E. Frazho, M.A. Kaashoek and A.C.M. Ran:

Right invertible multiplication
operators and stable rational matrix solutions to an associate Bezout
equation, II: Description of all solutions.

Accepted for publication.
* Operators and Matrices*

121. Pia L. Kempker, Andre C.M. Ran, Jan H. van Schuppen:

Controllability
and observability of coordinated linear systems.

* Linear Algebra and its Applications* 437 (2012) 589–-600.

122.
A.C.M. Ran and M. Wojtylak:

Eigenvalues of rank one perturbations of
unstructured matrices.

* Linear Algebra and its Applications* 437 (2012) 589–-600.

123.
Jan H. van Schuppen, Olivier Boutin, Pia L. Kempker, Jan Komenda,
Tomas Masopust, Nicola Pambakian, Andre C.M. Ran:

Control of Distributed
Systems - Tutorial and Overview,

*European Journal
on Control* 17 (2011), 579--602. Special issue for CDC.ECC.2011.

124.
A.C.M. Ran and J.H. van Schuppen:

Control for coordination of linear
systems,
*Proceedings of MTNS 2008*, 2008. CD-ROM only.

125.
P. Kempker, A.C.M. Ran and J.H. van Schuppen:

Construction of a coordinator
for coordinated linear systems,
* Proceedings of ECC 2009*, 2009.

126.
Pia L. Kempker, Andre C.M. Ran, Jan H. van Schuppen:

A Formation
Flying Algorithm for Autonomous Underwater Vehicles.
* Proc. CDC-
ECC 2011*.

127.
A.C.M. Ran and A. Ser\'eny:

The finite section method for infinite Vandermonde matrices.

*Indagationes Mathematicae *