H-Index & Metrics Best Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics D-index 33 Citations 4,593 189 World Ranking 1628 National Ranking 102

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Hilbert space
  • Algebra

Jonathan R. Partington mainly investigates Pure mathematics, Control theory, Applied mathematics, Transfer function and Mathematical analysis. His work carried out in the field of Pure mathematics brings together such families of science as Calculus and Contraction. His Applied mathematics research is multidisciplinary, relying on both Mathematical optimization, Linear dynamical system and System identification.

His research in Transfer function intersects with topics in Padé approximant, Stability and Coprime integers. Jonathan R. Partington interconnects Singular value and Reflexive space in the investigation of issues within Mathematical analysis. His studies in Robustness integrate themes in fields like Linear system and Exponential stability.

His most cited work include:

  • An introduction to Hankel operators (185 citations)
  • Worst-case control-relevant identification (163 citations)
  • Brief Analysis of fractional delay systems of retarded and neutral type (155 citations)

What are the main themes of his work throughout his whole career to date?

His primary areas of study are Pure mathematics, Mathematical analysis, Hardy space, Discrete mathematics and Control theory. His study in Bounded function extends to Pure mathematics with its themes. Mathematical analysis connects with themes related to Applied mathematics in his study.

Jonathan R. Partington focuses mostly in the field of Hardy space, narrowing it down to matters related to Function and, in some cases, Unit circle. His research investigates the connection between Control theory and topics such as Stability that intersect with issues in Type. His study in Linear system is interdisciplinary in nature, drawing from both Robustness and System identification.

He most often published in these fields:

  • Pure mathematics (38.98%)
  • Mathematical analysis (25.08%)
  • Hardy space (17.97%)

What were the highlights of his more recent work (between 2016-2021)?

  • Pure mathematics (38.98%)
  • Toeplitz matrix (10.17%)
  • Semigroup (11.86%)

In recent papers he was focusing on the following fields of study:

Jonathan R. Partington mostly deals with Pure mathematics, Toeplitz matrix, Semigroup, Hilbert space and Linear subspace. Particularly relevant to Hardy space is his body of work in Pure mathematics. His study on Toeplitz matrix also encompasses disciplines like

  • Kernel which intersects with area such as Piecewise, Factorization, Function and Unit circle,
  • Carleson measure which is related to area like Algebra and Multiplier.

His Hilbert space research incorporates themes from Operator theory, Uniform continuity and Contraction. His Linear subspace research includes elements of Blaschke product, Invariant and Combinatorics. His Bounded function research is included under the broader classification of Mathematical analysis.

Between 2016 and 2021, his most popular works were:

  • Infinite-Dimensional Input-to-State Stability and Orlicz Spaces (44 citations)
  • Asymmetric truncated Toeplitz operators and Toeplitz operators with matrix symbol (27 citations)
  • Non-coercive Lyapunov functions for input-to-state stability of infinite-dimensional systems (15 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Algebra
  • Hilbert space

His primary scientific interests are in Pure mathematics, Toeplitz matrix, Linear system, Hardy space and Linear subspace. His Pure mathematics research is multidisciplinary, incorporating perspectives in Heat kernel and Scalar. In his study, Carleson measure and Multiplier is strongly linked to Kernel, which falls under the umbrella field of Toeplitz matrix.

His studies deal with areas such as Dynamical systems theory, State, Lyapunov function, Stability and Applied mathematics as well as Linear system. His Hardy space research incorporates elements of Analytic function, Iterated function, Isometry and Composition. Jonathan R. Partington has researched Linear subspace in several fields, including Connection, Invariant and Combinatorics.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

An introduction to Hankel operators

Jonathan R. Partington.
(1988)

328 Citations

Interpolation, identification, and sampling

Jonathan R. Partington.
(1997)

242 Citations

Worst-case control-relevant identification

P. M. Mäkilä;J. R. Partington;T. K. Gustafsson.
Automatica (1995)

234 Citations

Brief Analysis of fractional delay systems of retarded and neutral type

Catherine Bonnet;Jonathan R. Partington.
Automatica (2002)

207 Citations

Coprime factorizations and stability of fractional differential systems

Catherine Bonnet;Jonathan R. Partington.
Systems & Control Letters (2000)

187 Citations

Robust identification and interpolation in H

Jonathan R. Partington.
International Journal of Control (1991)

183 Citations

Robust identification in H

Jonathan R Partington.
Journal of Mathematical Analysis and Applications (1992)

163 Citations

Linear Operators and Linear Systems: An Analytical Approach to Control Theory

Jonathan R. Partington.
(2004)

140 Citations

Rational approximation of a class of infinite-dimensional systems I: Singular values of hankel operators

Keith Glover;J. Lam;Jonathan R. Partington.
Mathematics of Control, Signals, and Systems (1990)

116 Citations

H∞ and BIBO stabilization of delay systems of neutral type

Jonathan R Partington;Catherine Bonnet.
Systems & Control Letters (2004)

114 Citations

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