**Modern approaches to the invariant subspace problem**,
by Isabelle Chalendar and Jonathan R. Partington (2011),
is published by
Cambridge University Press.
Errata (PDF)

**
Linear Operators and Linear Systems** (2004)
is published by
Cambridge University Press.
Errata (PDF).

** Interpolation, Identification and
Sampling** (1997)
is published by
Oxford University Press.

**
An introduction to Hankel operators**
(1989) is published by
Cambridge University Press.

**
Harmonic
analysis and rational approximation: their
roles in signals, control and dynamical systems theory** (2006),
edited by
J.-D. Fournier, J. Grimm, J. Leblond and
J.R. Partington, is
published by
Springer-Verlag.
It includes my "Fourier transforms and complex analysis", pp. 39-55, and
"Good bases", pp. 95-102.

The rest of this page contains a list of my papers and preprints, excluding
conference papers for which a journal version exists.
Recent ones are mostly on
arXiv and the
White Rose depository.
For **incomplete** lists of those published,
try
MathSciNet
or MR lookup
or Zentralblatt lookup
or
Web of Knowledge
or
Google Scholar.

J.R. Partington and R. Zawiski, Admissibility of diagonal state-delayed systems with a one-dimensional input space, preprint, 2018. arXiv version.

B. Célariès, I. Chalendar, and J.R. Partington, Universality and models for semigroups of operators on a Hilbert space, preprint, 2018. arXiv version.

B. Jacob, A. Mironchenko, J.R. Partington and F. Wirth, Remarks on input-to-state stability and non-coercive Lyapunov functions, preprint, 2018.

P. Gorkin and J.R. Partington, Norms of truncated Toeplitz operators and numerical radii of restricted shifts, preprint, 2017. arXiv version.

M.C. Câmara and J.R. Partington,
Toeplitz kernels and model spaces,
in *The Diversity and Beauty of Applied Operator Theory*,
Ed. A. Böttcher,
D. Potts,
P. Stollmann and
D. Wenzel,
Operator Theory: Advances and Applications, Vol. 268, Birkhäuser (2018),
139-153.
arXiv version.

I. Chalendar, J. Esterle and J.R. Partington,
Estimates near the origin for functional calculus on analytic semigroups,
*Journal of Functional Analysis*, 275 (2018), 698-711.

M.C. Câmara and J.R. Partington,
Multipliers and equivalences between Toeplitz kernels,
*J. Math. Anal. and Appl.*, 465 (2018), 557-570.

I. Chalendar, E.A. Gallardo-Gutiérrez and J.R. Partington, A Beurling theorem for almost-invariant subspaces of the shift operator, preprint, 2017.

R. Zawiski and J.R. Partington, On the admissibility of retarded delay systems, preprint, 2017, revised 2018. arXiv version.

I. Chalendar, P. Gorkin, J.R. Partington and W.T. Ross,
Clark measures and a theorem of Ritt,
*Mathematica Scandinavica*, 122 (2018), 277-298.

B. Jacob, R. Nabiullin, J.R. Partington and F. Schwenninger,
Infinite-dimensional input-to-state stability and Orlicz spaces, *SIAM J. Control Optim.*,
56 (2018), no. 2, 868-889.
arXiv version.

A. Bashar Abusaksaka and J.R. Partington, Diffusive systems and
weighted Hankel operators,
*Operators and Matrices*, 11 (2017), no. 1, 125-132.
arXiv version.

B. Jacob, R. Nabiullin, J. Partington and F. Schwenninger, On
input-to-state-stability and integral input-to-state-stability for
parabolic boundary control systems,
*55th IEEE Conference on Decision and
Control, Las Vegas, 2016*.

I. Chalendar and J.R. Partington,
Compactness, differentiability and similarity to isometry of composition semigroups,
*Problems and Recent Methods in Operator Theory*,
Ed. F. Botelho, R. King, and T.S.S.R.K. Rao,
Contemporary Mathematics 687, Amer. Math. Soc., 2017, 67-73.

E.A. Gallardo-Gutiérrez and
J.R. Partington,
*C _{0}*-semigroups of 2-isometries and Dirichlet spaces,

I. Chalendar and J.R. Partington,
Compactness and norm estimates for weighted composition operators on spaces of holomorphic functions,
*Harmonic Analysis, Function Theory,
Operator Theory and their Applications,*
Ed. P. Jaming, A. Hartmann, K. Kellay, S. Kupin, G. Pisier and D. Timotin,
Theta, 2017, 81-89.

B. Jacob, J.R. Partington, S. Pott and A. Wynn.
β-admissibility of observation and control
operators for hypercontractive semigroups,
*J. Evolution Equations*, 18 (2018), no. 1, 153-170.

I. Chalendar and J.R. Partington,
A class of quasicontractive semigroups acting on Hardy and weighted Hardy spaces,
*Semigroup Forum*, 95 (2017), 281-292.

M.C. Câmara and J.R. Partington,
Spectral properties of truncated Toeplitz operators by equivalence after extension,
*J. Math. Anal. and Appl.*,
433 (2016), 762-784.

C. Avicou, I. Chalendar and J.R. Partington,
Analyticity and compactness of semigroups of composition operators,
*J. Math. Anal. and Appl.*, 437 (2016), 545-560.

E.A. Gallardo-Gutiérrez,
J.R. Partington and
D.J. Rodríguez,
A continuous model for quasinilpotent operators,
*Math. Zeitschrift*, 284 (2016), 781-790.

M.C. Câmara and J.R. Partington,
Asymmetric truncated Toeplitz operators and Toeplitz operators with matrix symbol,
*J. Operator Theory*, 77 (2017), 455-479.

I. Chalendar, P. Gorkin and J.R. Partington,
Inner functions and operator theory,
*North-Western Euro. J. Math.* 1 (2015), 7-22.

C. Avicou, I. Chalendar and J.R. Partington,
A class of quasicontractive semigroups acting on Hardy and Dirichlet space,
*J. Evolution Equations*, 15 (2015), 647-665.

E.A. Gallardo-Gutiérrez,
J.R. Partington and
D.J. Rodríguez,
An extension of a theorem of Domar on invariant subspaces,
*Acta Sci. Math. (Szeged)*,
83 (2017), 271-290.

I. Chalendar, E.A. Gallardo-Gutiérrez and
J.R. Partington,
Weighted composition operators on the Dirichlet space:
boundedness and spectral properties,
*Math. Annalen*, 363 (2015), 1265-1279.

M.C. Câmara and J.R. Partington,
Finite-dimensional Toeplitz kernels and nearly-invariant subspaces,
*J. Operator Theory*,
75 (2016), no. 1, 75-90.

M.C. Câmara, M.T. Malheiro and J.R. Partington,
Model spaces
and Toeplitz kernels
in reflexive Hardy spaces,
*Operators and Matrices*,
10 (2016), no. 1, 127-148.

I. Chalendar, J. Esterle and J.R. Partington,
Dichotomy results for norm estimates in operator semigroups,
*Operator Semigroups meet Complex Analysis, Harmonic Analysis and
Mathematical Physics*. Ed. by W. Arendt, R. Chill and Y. Tomilov,
Operator Theory: Advances and Applications, Vol. 250, Birkhäuser (2015), 119-131.

I. Chalendar, J. Esterle and J.R. Partington,
Lower estimates near the origin for functional calculus
on operator semigroups,
*Journal of Functional Analysis*,
269 (2015), 1620-1635.

I. Chalendar and J.R. Partington,
Phragmén--Lindelöf principles for generalized analytic functions on unbounded domains,
*Complex Analysis and Operator Theory*,
10 (2016), 61-68.

I. Chalendar and J.R. Partington,
Norm estimates for weighted composition operators
on spaces of holomorphic functions,
*Complex Analysis and Operator Theory*,
8 (2014), 1087-1095.

A. Bashar Abusaksaka and J.R. Partington,
BIBO stability of some classes of delay systems and fractional systems,
*Systems and Control Letters*, 64 (2014), 43-46.

M.C. Câmara and J.R. Partington,
Near invariance and kernels of Toeplitz operators,
*Journal d'Analyse Math.* 124 (2014), 235-260.

B. Jacob, J.R. Partington and S. Pott,
Weighted multiple interpolation and the control of perturbed semigroup systems,
*Journal of Evolution Equations*,
13 (2013), 395-410.

J. Leblond, J.R. Partington and E. Pozzi,
Best approximation in Hardy spaces and by polynomials, with
norm constraints,
*Integral Equations
and Operator Theory*,
75 (2013), 491-516.

I. Chalendar and J.R. Partington,
An overview of some recent developments on the invariant subspace problem,
*Concrete Operators*, 1 (2012), 1-10.

I. Chalendar, P. Gorkin and J.R. Partington,
Prime and semiprime inner functions,
*J. London Math. Soc.*, (2) 88 (2013), 779-800.

B. Jacob, J.R. Partington and S. Pott,
Applications of Laplace-Carleson embeddings to admissibility and
controllability,
*SIAM J. Control. Optim.*,
52 (2014), 1299-1313.

B. Jacob, J.R. Partington and S. Pott,
On Laplace-Carleson embedding theorems,
*Journal of Functional Analysis*,
264 (2013), 783-814.

E.A. Gallardo-Gutiérrez and
J.R. Partington,
Norms of composition operators on weighted Hardy spaces,
*Israel J. Math.* 196 (2013), no. 1, 273-283.

J.R. Partington, Interpolation in Hardy spaces, with applications,
*Topics in Functional and Harmonic Analysis. Le Touquet, Metz, Lens 2010,*
Ed. by C. Badea, D. Li and V. Petkova,
Theta Foundation (2012), 103-122.

J.R. Partington,
Interpolation, Carleson measures and controllability,
*Actas de Colloquium* (UCM, Madrid), 2011, Sec. 1, Num. 77, 123-130.

I. Chalendar, P. Gorkin and J.R. Partington,
Determination of inner functions by their value sets on the circle,
*Computational Methods and Function theory*,
11 (2011), 353-373.

I. Chalendar, P. Gorkin and J.R. Partington,
The group of invariants of an inner function with
finite spectrum, *J. Math. Anal. and Appl.*,
389 (2012), 1259-1267.

E.A. Gallardo-Gutiérrez and
J.R. Partington,
A generalization of the Aleksandrov operator and adjoints of weighted
composition operators,
*Annales de l'Institut Fourier*,
63 (2013), 373-389.

B. Jacob, J.R. Partington and S. Pott,
Weighted interpolation in Paley-Wiener spaces and finite-time controllability,
*Journal of Functional Analysis*,
259 (2010), 2424-2436.

Y. Fischer, J. Leblond, J.R. Partington and E. Sincich,
Bounded extremal problems in Hardy spaces for the conjugate Beltrami
equation in simply-connected domains,
*Applied and Computational Harmonic Analysis*,
31 (2011), 264-285.

C. Bonnet, A.R. Fioravanti and J.R. Partington,
Stability of neutral systems with commensurate delays and poles
asymptotic to the imaginary axis,
*SIAM J. Control Optimiz.*,
49 (2011), 498-516.

J.R. Partington and E. Pozzi,
Universal shifts and composition operators,
*Operators and Matrices*, 5 (2011), 455-467.

I. Chalendar, J. Esterle and J.R. Partington,
Boundary values of analytic semigroups
and associated norm estimates,
*Banach Algebras 2009*,
Banach Center Publications 91 (2010), 87-103.

I. Chalendar, P. Gorkin and J.R. Partington,
Boundary interpolation and approximation by
infinite Blaschke products,
*Mathematica Scandinavica*,
107 (2010), 305-319.

E.A. Gallardo-Gutiérrez and
J.R. Partington,
The role of
BMOA in the boundedness of weighted composition operators,
*Journal of Functional Analysis*,
258 (2010), 3593-3603.
Corrigendum, *Ibid.*, 259 (2010), 2757-2758.

I. Chalendar, J.R. Partington and E. Pozzi,
Multivariable weighted composition operators: lack of
point spectrum, and cyclic vectors,
in
J.A. Ball, V. Bolotnikov, J.W. Helton, L. Rodman
and I.M. Spitkovsky:
*
Topics in Operator Theory
Volume 1: Operators, Matrices and Analytic functions*,
Operator Theory: Advances and Applications, Vol. 202,
Birkhäuser (2010), 63-85.

Z. Bendaoud, I. Chalendar, J. Esterle and J.R. Partington,
Distances between
elements of a semigroup and estimates for derivatives,
*Acta Mathematica Sinica*, 26 (2010), 2239-2254.

I. Chalendar, P. Gorkin and J.R. Partington,
Numerical ranges of restricted shifts and unitary dilations,
*Operators and Matrices*, 3 (2009), 271-281.

B. Jacob, J.R. Partington and S. Pott, Zero-class admissibility of observation operators,
*Systems and Control Letters*, 58 (2009), 406-412.

E.A. Gallardo-Gutiérrez, R. Kumar and
J.R. Partington,
Boundedness, compactness and Schatten-class
membership of weighted composition operators,
*Integral Equations and Operator Theory*, 67 (2010), 467-479.

B.H. Haak, B. Jacob, J.R. Partington and S. Pott,
Admissibility and controllability of diagonal Volterra
equations with scalar inputs,
*J. Differential Equations*,
246 (2009), 4423-4440.

B. Atfeh,
L. Baratchart, J. Leblond and J.R. Partington,
Bounded
extremal and Cauchy-Laplace problems on the sphere and shell.
*J. Fourier Anal. Appl.*,
16 (2010), 177-203.

B. Jacob, J.R. Partington and S. Pott,
Tangential interpolation in weighted vector-valued *H ^{p}*
spaces, with
applications,

M. Jaoua, J. Leblond, M. Mahjoub and J.R. Partington,
Robust numerical
algorithms based on analytic approximation for the solution of inverse
problems in annular domains,
*IMA J. Appl. Math*,
74 (2009), 481-506.

M. Jaoua,
S. Chaabane,
C. Elhechmi,
J. Leblond,
M. Mahjoub and
J.R. Partington,
On some robust algorithms for the Robin inverse problem,
*Revue Africaine de la Recherche
en Informatique
et Mathématiques Appliquées (ARIMA Review)*,
9 (2008), 287-307.

I. Chalendar and J.R. Partington,
Invariant subspaces for products of Bishop operators,
*Acta Sci. Math. (Szeged)*,
74 (2008), 717-725.

I. Chalendar, N. Chevrot and J.R. Partington,
Nearly invariant subspaces for backwards shifts on
vector-valued Hardy spaces,
*Journal of Operator Theory*,
63 (2010), 403-415.

E.A. Gallardo-Gutiérrez and J.R. Partington,
Invariant subspaces for translation, dilation and multiplication semigroups,
*Journal d'Analyse Math.*,
107 (2009), 65-78.

I. Chalendar and J.R. Partington,
Doubly-invariant subspaces for the shift on the
vector-valued Sobolev spaces of the disc and annulus,
*Integral Equations and Operator Theory*, 61 (2008), 149-158.

B. Jacob, J.R. Partington and S. Pott,
Interpolation by vector-valued analytic functions, with
applications to controllability,
*Journal of Functional Analysis*, 252 (2007), 517-549.

E.A. Gallardo-Gutiérrez and J.R. Partington,
Common hypercyclic vectors for families of operators,
*Proc. Amer. Math. Soc.*,
136 (2008), 119-126.

I. Chalendar, N. Chevrot and J.R. Partington,
Invariant subspaces for the shift on the vector-valued *L ^{2}*
space of an annulus,

C. Bonnet and J.R. Partington,
Stabilization of some fractional delay systems of neutral type,
*Automatica*,
43 (2007), 2047-2053.

I. Chalendar and J.R. Partington,
Applications of moment problems to the overcompleteness of sequences,
*Mathematica Scandinavica*, 101 (2007), 249-260.

J.R. Partington and R.C. Smith, *L ^{1}* factorizations
and invariant subspaces for weighted composition operators,

E.A. Gallardo-Gutiérrez, J.R. Partington and D. Segura,
Cyclic vectors and
invariant subspaces
for Bergman and Dirichlet shifts,
*Journal of Operator Theory*,
62 (2009), 199-214.

P.M. Mäkilä and J.R. Partington,
A two-operator approach to robust stabilization of linear systems on **R**,
*Int. J. Control*, 79 (2006), 1026-1038.

B. Jacob and J.R. Partington,
A resolvent test for admissibility of Volterra observation operators,
*J. Math. Anal. and Appl.*, 332 (2007), 346-355.

I. Chalendar and J.R. Partington,
Multivariable approximate Carleman-type theorems for complex measures,
*Annals of Probability*, 35 (2007), 384-396.

I. Chalendar, A. Flattot and J.R. Partington,
The method of minimal vectors applied to
weighted composition operators, in M.A. Dritschel:
*The extended field of operator theory*,
Operator Theory: Advances and Applications, Vol. 171,
Birkhäuser (2007),
89-105.

J.R. Partington and S. Pott, Admissibility and exact observability of observation
operators for semigroups,
*Irish Math. Soc. Bull.*,
55 (2005), 19-39.

I. Chalendar and J.R. Partington, An image problem for compact operators,
*Proc. Amer. Math. Soc.*,
134 (2006), 1391-1396.

I. Chalendar and J.R. Partington,
Variations on Lomonosov's theorem via the technique of
minimal vectors,
*Acta Sci. Math. (Szeged)*,
71 (2005), 603-617.

J.R. Partington and
P.M. Mäkilä,
Rational approximation of
distributed-delay controllers,
*Int. J. Control*, 78 (2005), 1295-1301.

J. Leblond, M. Mahjoub and J.R. Partington,
Analytic extensions and
Cauchy-type inverse problems on annular domains:
stability results,
*J. Inverse Ill-Posed Probl.*, 14 (2006), 189-204.

J. Leblond, J.-P. Marmorat and J.R. Partington,
Analytic approximation under real constraints, with applications to
inverse diffusion problems, *J. Inverse Ill-Posed Probl.*,
16 (2008), 89-105.

I. Chalendar, J.R. Partington and R.C. Smith,
*L ^{1}* factorizations, moment problems and
invariant subspaces,

B. Jacob and J.R. Partington,
On controllability of diagonal systems with one-dimensional input space,
*Systems and Control Letters*,
55 (2006), 321-328.

E.A. Gallardo-Gutiérrez and J.R. Partington,
Supercyclic vectors and the angle criterion,
*Studia Mathematica*,
166 (2005), 93-99.

J.R. Partington,
Some frequency-domain approaches to the model reduction of delay systems,
*Annual Reviews in Control*,
28 (2004), 65-73.

B. Jacob and J.R. Partington,
Admissible control and observation operators for Volterra integral equations,
*Journal of Evolution Equations*,
4 (2004), 333-343.

C. Bonnet and J.R. Partington,
Robust stability analysis of various classes of delay systems,
in S.I. Niculescu and K. Gu:
*Advances in time-delay systems*, Springer-Verlag (2004), 245-256.

P.M. Mäkilä and J.R. Partington,
Least squares LTI approximation of nonlinear
systems and quasistationarity analysis,
*Automatica*, 40 (2004), 1157-1169.

I. Chalendar, L. Habsieger, J.R. Partington and T.J. Ransford,
Approximate Carleman theorems and a Denjoy-Carleman maximum principle,
*Archiv der Mathematik*, 83 (2004), 88-96.

I. Chalendar and J.R. Partington,
Convergence properties of minimal vectors for normal operators and weighted shifts,
*Proc. Amer. Math. Soc.*,
133 (2005), 501-510.

R. Kumar and J.R. Partington, Weighted composition operators
on Hardy and Bergman spaces, in
D. Gaspar, I. Gohberg, D. Timotin, F.H. Vasilescu, L. Zsido:
*Recent advances in operator theory, operator algebras, and their applications*,
Proc. XIXth International Conference on Operator Theory (Timisoara), 2002,
Operator Theory: Advances and Applications, Vol. 153,
Birkhäuser
(2005), 157-167.

J.R. Partington and C. Bonnet,
*H _{}*
and BIBO stabilization of
delay systems of neutral type,

B. Jacob and J.R. Partington, Admissibility of control and
observation operators for semigroups: a survey, in
J.A. Ball, J.W. Helton, M. Klaus and L. Rodman:
*Current Trends in Operator Theory and its Applications,
Proceedings of IWOTA 2002*,
Operator Theory: Advances and Applications, Vol. 149,
Birkhäuser (2004), 199-221.

I. Chalendar, E. Fricain and J.R. Partington,
Overcompleteness of sequences
of reproducing kernels in model spaces.
*Integral Equations and Operator Theory*, 56 (2006),
45-56.

J.J. Winkin,
F.M. Callier, B. Jacob and J.R. Partington,
Spectral factorization by symmetric extraction for distributed
parameter systems,
*SIAM J. Control Optimiz.*, 43 (2005),
1435-1466.

P.M. Mäkilä and J.R. Partington,
Input-output stabilization
of linear systems on **Z**,
*I.E.E.E. Trans. Automat. Control*,
49 (2004), 1916-1928.

I. Chalendar, J.R. Partington and M. Smith, Approximation in reflexive
Banach spaces and applications to the invariant subspace problem,
*Proc. Amer. Math. Soc.*, 132 (2004), 1133-1142.

B. Jacob, J.R. Partington and S. Pott,
Conditions for admissibility of observation operators and
boundedness of Hankel operators,
*Integral Equations and Operator Theory*,
47 (2003), 315-338.

C. Bonnet, J.R. Partington and M. Sorine,
A modified matching pursuit algorithm applied
to the approximation of vecto-cardiogram data,
*Internat. J. Pure Appl. Math.*,
15 (2004), 25-35.
A fuller version is
*INRIA Rapport de Recherche,* No. 4535 (2002).
PDF file

I. Chalendar and J.R. Partington, Constrained approximation
and invariant subspaces,
*J. Math. Anal. and Appl.*, 280 (2003),
176-187.

J.R. Partington, Model reduction of delay systems, in
V.D. Blondel and A. Megretski,
*Unsolved problems in mathematical systems and control theory*,
Princeton University Press (2004),
29-32.

I. Chalendar and J.R. Partington,
Spectral density for multiplication operators with applications
to factorization of *L ^{1}* functions,

P.M. Mäkilä and J.R. Partington,
Input-output stabilization on the doubly-infinite time axis,
*Int. J. Control*, 75 (2002), 981-987.

L. Baratchart, J. Grimm, J. Leblond and J.R. Partington,
Asymptotic estimates for interpolation and constrained approximation
in *H ^{2}* by diagonalization of Toeplitz operators,

P.M. Mäkilä and J.R. Partington,
On linear models for nonlinear systems,
*Automatica*, 39 (2003), 1-13.

J.R. Partington and P.M. Mäkilä,
On system gains for linear and nonlinear systems,
*Systems and Control Letters*, 46 (2002), 129-136.

I. Chalendar and J.R. Partington,
On the structure of invariant subspaces for isometric
composition operators on *H ^{2}(D)*
and

B. Jacob, J. Leblond, J.-P. Marmorat and J.R. Partington,
A constrained approximation problem arising in parameter
identification,
*Linear Algebra and its Applications*, 351-352 (2002), 487-500.

I. Chalendar, J. Leblond and J.R. Partington,
Approximation problems in some holomorphic spaces, with applications, in
A.A. Borichev and N.K. Nikolski:
*Systems, Approximation, Singular Integral Operators, and
Related Topics,
Proceedings of IWOTA 2000*,
Operator Theory: Advances and Applications, Vol. 129,
Birkhäuser (2001), 143-168.

B. Jacob, J.R. Partington and S. Pott,
Admissible and weakly admissible observation
operators for the right shift semigroup,
*Proc. Edinburgh Math. Soc.*, 45 (2002), 353-362.

I. Chalendar and J.R. Partington, *L ^{1}* factorizations for some
perturbations of the unilateral shift,

C. Bonnet and J.R. Partington,
Analysis of fractional delay systems of retarded and neutral type,
*Automatica*, 38 (2002),
1133-1138.

C. Bonnet and J.R. Partington,
Stabilization of fractional exponential systems including delays,
*Kybernetika*, 37 (2001), 345-353.

K.J. Harrison, J.R. Partington and J.A. Ward,
Input-output identifiability
of continuous-time linear systems,
*Journal of Complexity*, 18 (2002), 210-223.

I. Chalendar and J.R. Partington,
Interpolation between Hardy spaces on circular domains with
applications to approximation,
*Archiv der Mathematik*, 78 (2002), 223-232.

B. Jacob and J.R. Partington,
The Weiss conjecture on admissibility
of observation operators for
contraction
semigroups,
*Integral Equations and Operator Theory*, 40 (2001), 231-243.

B. Jacob, J.R. Partington and B. Ünalmis,
On discrete-time linear systems with almost-periodic kernels,
*J. Math. Anal. and Appl.*, 252 (2000), 549-570.

J.R. Partington and G.K. Sankaran,
Algebraic construction of
normalized coprime factors for delay systems,
*Math. Control, Signals and Systems*, 15 (2002), 1-12.

B. Jacob and J.R. Partington,
Graphs, closability, and causality of linear time-invariant discrete-time
systems,
*Int. J. Control*, 73 (2000), 1051-1060.

C. Bonnet and J.R. Partington,
Coprime factorizations and stability of fractional differential
systems,
*Systems and Control Letters*, 41 (2000), 167-174.

J.R. Partington and B. Ünalmis,
On the windowed Fourier transform and wavelet
transform of almost periodic functions,
*Applied and Computational Harmonic Analysis*, 10 (2001), 45-60.

B. Jacob and J.R. Partington,
On the boundedness and continuity of the spectral factorization mapping,
*SIAM J. Control Optimiz.*, 40 (2001), 88-106.

J.R. Partington and G. Weiss,
Admissible observation operators for the right shift semigroup,
*Math. Control, Signals and Systems,* 13 (2000), 179-192.

P.M. Mäkilä and J.R. Partington,
Robustness in
*H _{}*
identification,

J. Leblond and J.R. Partington,
Constrained approximation and interpolation in Hilbert
function spaces,
*J. Math. Anal. and Appl.*
234 (1999), 500-513.

I. Chalendar and J.R. Partington,
Approximation problems and representations of Hardy spaces in
circular domains.
*Studia Mathematica,* 136 (1999), 255-269.

P.M. Mäkilä and J.R. Partington,
Shift operator induced approximations of delay systems,
*SIAM J. Control Optimiz.*,
37 (1999), 1897-1912.

P.M. Mäkilä and J.R. Partington,
Laguerre and Kautz shift approximations of delay systems,
*Int. J. Control,* 72 (1999), 932-946.

L. Baratchart, J. Leblond and J.R. Partington,
Constrained *H ^{p}* interpolation on subsets of the circle,

L. Baratchart, J. Leblond and J.R. Partington,
Problems of Adamjan-Arov-Krein type on subsets of the circle
and minimal-norm extensions,
*Constructive Approximation,* 16 (2000), 333-357.

C. Bonnet, J.R. Partington and M. Sorine,
Robust stabilization of a delay system with
saturating actuator or sensor,
*Int. J. Robust Nonlin. Control,* 10 (2000), 579-590.

C. Bonnet, J.R. Partington and M. Sorine,
Digital phase-locked loops tracked by a relay sensor.
*I.E.E.E. Trans. Communications,* 47 (1999), 667-669.

P.M. Mäkilä and J.R. Partington,
On robustness in system identification,
*Automatica, * 35 (1999), 907-916.

J.R. Partington,
Input design for worst-case identification, in
V.D. Blondel, E.D. Sontag,
M. Vidyasagar and J.C. Willems:
*Open Problems in Mathematical Systems and Control Theory,*
Springer-Verlag (1998), 163-166.

C. Bonnet, J.R. Partington and M. Sorine,
Robust control and tracking in
*L _{}*
of delay systems
equipped with a relay sensor, in
N.T. Koussoulas and P. Groumpos:

J.R. Partington,
Worst-case errors of linear algorithms for identification
in
*H _{}* ,

K.J. Harrison, J.R. Partington and J.A. Ward,
Complexity of identification of linear systems with
rational transfer functions,
*Math. Control Sig. Sys. * 11 (1998), 265-288.

P.M. Mäkilä, J.R. Partington and T. Norlander,
Bounded power signal spaces for robust control and modelling,
*SIAM J. Control Optimiz. * 37 (1999), 92-117.

J.R. Partington and B. Ünalmis,
On the representation of shift-invariant operators by transfer
functions,
*Systems and Control Letters*, 33 (1998), 25-30.

P.M. Mäkilä and J.R. Partington, Lethargy results in LTI system
modelling, *Automatica, *
34 (1998), 1061-1070.

C. Bonnet and J.R. Partington, Bézout factors
and *L ^{1}*-optimal
controllers for delay systems using a two-parameter compensator scheme,

N.F. Dudley Ward and J.R. Partington, A construction of rational
wavelets and frames in Hardy-Sobolev spaces, with applications to system
modelling,
*SIAM J. Control Optimiz., * 36 (1998), 654-679.

J.R. Partington and P.M. Mäkilä, Modelling of linear
fading-memory systems, *I.E.E.E. Trans. Automat. Control,*
41 (1996), 899-903.

P.M. Mäkilä, J.R. Partington and T.K. Gustafsson, Worst-case
control-relevant identification, *Automatica,* 31 (1995), 1799-1819.

L. Baratchart, J. Leblond, J.R. Partington and N. Torkhani, Robust
identification from band-limited data, *I.E.E.E. Trans. Automat.
Control,*
42 (1997), 1318-1325.
An abstract and longer version are
available here.

L. Baratchart, J. Leblond and J.R. Partington, Hardy approximation
to
*L ^{}*
functions on subsets of the circle,

N.F. Dudley Ward and J.R. Partington, Robust identification in the
disc algebra using rational wavelets and orthonormal basis functions,
*Int. J. Control, *64 (1996), 409-423.

C. Bonnet and J.R. Partington, Robust stabilization in the BIBO gap
topology, * Int. J. Robust Nonlin. Control,* 7 (1997), 429-447.

N.F. Dudley Ward and J.R. Partington, Rational wavelet
decompositions of transfer functions in Hardy-Sobolev classes, *Math.
Control, Signals and Systems,* 8 (1995), 257-278.

J.R. Partington, Recovery of functions by interpolation and sampling, *
J. Math. Anal. and Appl.,* 198 (1996), 301-309.

J.R. Partington and P.M. Mäkilä, Analysis of linear methods for
robust identification in *l _{1}*,

J.R. Partington and P.M. Mäkilä, Worst case analysis of the
least-squares method and related identification methods, *Systems and Control
Letters,* 24 (1995), 193-200.

N. Das and J.R. Partington, Little Hankel operators on the half
plane, *Integral Equations Operator Theory,* 20 (1994), 306-324.

J.R. Partington and P.M. Mäkilä, Worst-case analysis of
identification - BIBO robustness for closed-loop data,
*I.E.E.E. Trans.
Automat. Control,* 39 (1994), 2171-2176.

J.R. Partington, Worst case identification in
*l _{2}* :
linear and
nonlinear algorithms,

J.R. Partington, Interpolation in normed spaces from the values of
linear functionals,* Bull. London Math. Soc.,* 26 (1994), 165-170.

P.M. Mäkilä and J.R. Partington, On bounded error identification
of feedback systems, *Int. J. Adaptive Control and Signal
Processing,* 9 (1995), 47-61.

J.R. Partington, Algorithms for identification in
*H _{}*
with
unequally spaced function measurements,

C.A. Jacobson, C.N. Nett and J.R. Partington, Worst case
identification in *l _{1}* : optimal algorithms and error bounds,

P.M. Mäkilä and J.R. Partington, Robust stabilization - BIBO
stability, distance notions and robustness optimization,
*Automatica*, 29 (1993), 681-693.

P.M. Mäkilä and J.R. Partington, Robust approximate modelling of
stable linear systems,
*Int. J. Control,* 58 (1993), 665-683.

J.R. Partington, Worst-case identification in Banach spaces,
*Systems and
Control Letters,* 18 (1992), 423-428.

P.M. Mäkilä and J.R. Partington,
Identification of feedback systems from time series,
in R.S. Smith and M. Dahleh:
*The modeling of uncertainty in control systems*,
Springer Lecture Notes in Control and Information Sciences No. 192 (1994),
117-126.

P.M. Mäkilä and J.R. Partington, Robust identification of
strongly stabilizable systems,
*I.E.E.E. Trans.
Automat. Control,
*37 (1992),
1709-1716.

J.R. Partington, Robust control and approximation in the chordal
metric, in S. Hosoe: *Robust Control,* Springer Lecture Notes in Control and
Information Sciences No. 183 (1992), 82-89.

J.R. Partington, The *L _{2}* approximation of infinite-dimensional
systems, in N.K. Nichols and D.H. Owens:

J.R. Partington, Robust identification in
*H _{}* ,

J.R. Partington, Robust identification and interpolation in
*H _{}* ,

J.R. Partington, Approximation of unstable infinite-dimensional
systems using coprime factors,
*Systems and Control Letters,* 16 (1991), 89-96.

J.R. Partington, Approximation of delay systems by Fourier-Laguerre
series, *
Automatica,* 27 (1991), 569-572.

K. Glover, J. Lam and J.R. Partington, Rational approximation of a
class of infinite-dimensional systems: The *L _{2}*
case, in P. Nevai and
A. Pinkus:

K. Glover, J. Lam and J.R. Partington, Rational approximation of a
class of infinite-dimensional systems II: Optimal convergence rates of
*L _{}*
approximants,

K. Glover, J. Lam and J.R. Partington, Rational approximation of a
class of infinite-dimensional systems I: Singular values of Hankel operators,
*Math. Control Sig. Sys.,* 3 (1990), 325-344.

J.R. Partington and K. Glover, Robust stabilization of delay systems
by approximation of coprime factors,
*Systems and Control Letters,* 14 (1990), 325-331.

J.R. Partington, K. Glover, H.J. Zwart and R.F. Curtain,
*L _{}*
approximation and nuclearity of delay systems,

H.J. Zwart, R.F. Curtain, J.R. Partington and K. Glover, Partial
fraction expansions for delay systems,
*Systems and Control Letters,* 10 (1988), 235-244.

K. Glover, R.F. Curtain and J.R. Partington, Realization and
approximation of linear infinite dimensional systems with error bounds,
*SIAM J. Control Optimiz.*, 26 (1988), 863-898.

K. Glover and J.R. Partington, Bounds on the achievable accuracy in
model reduction, in R.F. Curtain:
*Modelling robustness and sensitivity reduction
in control systems,* Springer-Verlag (1987), 95-118.

K. Glover, J. Lam and J.R. Partington, Balanced realisation and
Hankel-norm approximation of systems involving delays,
*Proc. 25th
I.E.E.E. conference on Decision and Control, Athens,* I.E.E.E.
(1986), 1810-1815.

J.R. Partington, Orthogonality in normed spaces,
*J. Austral. Math. Soc.,* 35 (1986), 449-455.

J.R. Partington, B-convexity, super-reflexivity and summability,
*Quart. J. Math.,*
(2) 37 (1986), 467-471.

J.R. Partington, Self-conjugate polyhedral Banach spaces,
* Bull. London Math. Soc.,*
18 (1986), 284-286.

J.R. Partington, Growth conditions on subharmonic functions
and resolvents of operators,
*Math. Proc. Camb. Philos. Soc.*, 97 (1985), 321-324.

J.R. Partington, Maximal norms on Banach spaces,
* Bull. London Math. Soc.,*
17 (1985), 55-56.

V.I. Istratescu and J.R. Partington, On nearly uniformly convex
and *k*-uniformly convex spaces,
*Math. Proc. Camb. Philos. Soc.*, 95 (1984), 325-327.

B. Bollobás and J.R. Partington, Inequalities for quadratic
polynomials in Hermitian and dissipative operators,
*Adv. Math.*, 51 (1984),
271-280.

J.R. Partington, On nearly uniformly convex Banach spaces,
*Math. Proc. Camb. Philos. Soc.*,
93 (1983), 127-129.
Corrigendum, *Ibid.*, 94 (1983), 189.

J.R. Partington, The resolvent of a Hermitian operator on a Banach
space,
* J. London Math. Soc.,*
(2) 27 (1983), 507-512.

J.R. Partington, Norm attaining operators,
*Israel J. Math.*, 43 (1982), 273-276.

J.R. Partington, Almost sure summability of subsequences in Banach
spaces,
*Studia Math.,* 71 (1982), 27-35.

J.R. Partington, Hadamard-Landau inequalities for uniformly convex
spaces,
*Math. Proc. Camb. Philos. Soc.*, 90 (1981), 259-264.

J.R. Partington, Subspaces of certain Banach sequence spaces,
* Bull. London Math. Soc.,*
13 (1981), 162-166.

J.R. Partington, Equivalent norms on spaces of bounded functions,
*Israel J. Math.*,
35 (1980), 205-209.

J.R. Partington, Constants relating a hermitian operator and its
square,
*Math. Proc. Camb. Philos. Soc.*, 85 (1979), 325-333.

J.R. Partington, Hermitian operators for absolute norms and absolute
direct sums,
*Linear Algebra and its Applications*,
23 (1979), 275-280.

J.R. Partington, On the Banach-Saks property,
*Math. Proc. Camb. Philos. Soc.*, 82 (1977), 369-374.