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Mathematical Control and Related Fields
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Mathematical Control and Related Fields

2156-8472

Published by: American Institute of Mathematical Sciences

https://www.aimsciences.org/journal/2156-8472

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Electronics and Electrical Engineering 517 7 9 3
Engineering and Technology 1126 12 20 6

Additional Metrics

Number of Best Scientists*: 41
Documents by Best Scientists*: 54
Top 100 Ranked Scientists*: 2
SCIMAGO H-index: 25
SCIMAGO SJR: 0.601
Impact Factor: 0.9

Overview

Top Research Topics at Mathematical Control and Related Fields?

The primary areas of discussion in Mathematical Control and Related Fields are Applied mathematics, Mathematical analysis, Optimal control, Controllability and Boundary (topology). In Mathematical Control and Related Fields, State (functional analysis), Class (set theory), Maximum principle and Nonlinear system are investigated in conjunction with one another to address concerns in Applied mathematics research. The main emphasis of the journal is the subject of Nonlinear system, focusing on Exponential stability.

Domain (mathematical analysis), Boundary value problem, Bounded function, Parabolic partial differential equation and Wave equation are all aspects of Mathematical analysis discussed in the journal. While Optimal control is the focus of Mathematical Control and Related Fields, it also provided insights into the studies of Regularization (mathematics) and Type (model theory). Issues in Controllability were discussed, taking into consideration concepts from other disciplines like Null (mathematics), Heat equation, Observability and Pure mathematics.

Studies on Boundary (topology) discussed in the journal link to the field of Inverse problem. The majority of Mathematical optimization studies in Mathematical Control and Related Fields are focused on the subject of Stochastic control. Mathematical Control and Related Fields explores the study of Hamilton–Jacobi–Bellman equation to improve our understanding of the broader topic of Bellman equation.

  • Applied mathematics (36.17%)
  • Mathematical analysis (31.12%)
  • Optimal control (24.47%)

What are the most cited papers published in the journal?

  • Strict Lyapunov functions for semilinear parabolic partial differential equations (102 citations)
  • RECENT RESULTS ON THE CONTROLLABILITY OF LINEAR COUPLED PARABOLIC PROBLEMS: A SURVEY (99 citations)
  • Time-inconsistentoptimal control problems and the equilibrium HJB equation (96 citations)

Research areas of the most cited articles at Mathematical Control and Related Fields:

The published articles primarily focus on research topics in Mathematical analysis, Applied mathematics, Optimal control, Controllability and Parabolic partial differential equation. While work presented in the published papers provide substantial information on Mathematical analysis, it also covers topics in Function (mathematics), Boundary (topology) and Lyapunov function, Nonlinear system. While the journal publications focused on Controllability, they were also able to explore topics like Structure (category theory), Bounded function and Heat equation.

What topics the last edition of the journal is best known for?

  • Mathematical analysis
  • Algebra
  • Geometry

The previous edition focused in particular on these issues:

Mathematical Control and Related Fields is mainly concerned with subjects like Applied mathematics, Optimal control, Mathematical analysis, Nonlinear system and State (functional analysis). It is mostly focused on Applied mathematics, specifically Stochastic differential equation. The research on Optimal control tackled can also make contributions to studies in the areas of Point (geometry), Limit (mathematics), Ordinary differential equation, Differentiable function and Ode.

The concepts on Mathematical analysis presented in Mathematical Control and Related Fields can also apply to other research fields, including Function (mathematics) and Shape optimization. The research on Nonlinear system featured in it combines topics in other fields like Initial value problem, Numerical analysis and Stability result. The presented research on Bounded function deals specifically with Orthogonal basis but it also addresses topics in Controllability.

The most cited articles from the last journal are:

  • Uncertainty damping in kinetic traffic models by driver-assist controls (12 citations)
  • On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems (12 citations)
  • Fractional optimal control problems on a star graph: Optimality system and numerical solution (10 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

The top authors publishing in Mathematical Control and Related Fields (based on the number of publications) are:

  • George Yin (5 papers) absent at the last edition,
  • Qing Zhang (5 papers) absent at the last edition,
  • Fredi Tröltzsch (5 papers) absent at the last edition,
  • Jiongmin Yong (5 papers) absent at the last edition,
  • Eduardo Casas (5 papers) published 1 paper at the last edition, 1 less than at the previous edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Only papers with recognized affiliations are considered

The top affiliations publishing in Mathematical Control and Related Fields (based on the number of publications) are:

  • Institut Élie Cartan de Lorraine (8 papers) published 1 paper at the last edition,
  • Hong Kong Polytechnic University (6 papers) published 1 paper at the last edition the same number as at the previous edition,
  • Institut de Mathématiques de Toulouse (6 papers) absent at the last edition,
  • École Polytechnique (4 papers) absent at the last edition,
  • Centre national de la recherche scientifique (3 papers) absent at the last edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 95.71% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 66.67% were posted by at least one author from the top 10 institutions publishing in the journal. Another 33.33% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 0.00% of all publications and 0.00% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

  • Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
  • Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
  • Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
  • Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
  • Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.

Top Publications

  • Fractional optimal control problems on a star graph: Optimality system and numerical solution

    Vaibhav Mehandiratta;Mani Mehra;Günter Leugering

    (2021)
    32 Citations
  • On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems

    Lars Grüne;Roberto Guglielmi

    (2021)
    32 Citations
  • A moment approach for entropy solutions to nonlinear hyperbolic PDEs

    Swann Marx;Tillmann Weisser;Didier Henrion;Jean Bernard Lasserre

    (2020)
    31 Citations
  • Strict dissipativity for discrete time discounted optimal control problems

    Lars Grüne;Matthias A. Müller;Christopher M. Kellett;Steven R. Weller

    (2021)
    14 Citations
  • A Poincaré-Bendixson theorem for hybrid systems

    William Clark;Anthony M. Bloch;Leonardo Colombo

    (2020)
    13 Citations
  • Optimal control problems of parabolic fractional Sturm-Liouville equations in a star graph

    (2021)
    12 Citations
  • Optimal control of the linear wave equation by time-depending BV-controls: A semi-smooth Newton approach

    Sebastian Engel;Karl Kunisch

    (2020)
    6 Citations
  • State-constrained semilinear elliptic optimization problems with unrestricted sparse controls

    Eduardo Casas;Fredi Tröltzsch

    (2020)
    6 Citations
  • Learning nonlocal regularization operators

    Gernot Holler;Karl Kunisch

    (2021)
    5 Citations

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