D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Electronics and Electrical Engineering D-index 30 Citations 3,368 109 World Ranking 3610 National Ranking 79
Mathematics D-index 32 Citations 3,935 137 World Ranking 1779 National Ranking 111

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Geometry

His primary areas of study are Optimal control, Mathematical optimization, Mathematical analysis, Controllability and Applied mathematics. His work on Singular control as part of general Optimal control research is often related to Order, thus linking different fields of science. The Mathematical optimization study which covers State that intersects with Nonlinear control, Linear matrix inequality, Sequence and Upper and lower bounds.

In his research on the topic of Mathematical analysis, Vector field, Tangent, Affine transformation and Quadratic function is strongly related with Combinatorics. His work in Controllability tackles topics such as Boundary which are related to areas like Heat equation, Steady state, Pole shift hypothesis, Connected component and Observability. His research in Applied mathematics intersects with topics in Sparse control and Kinetic energy.

His most cited work include:

  • Nonlinear Optimal Control via Occupation Measures and LMI-Relaxations (205 citations)
  • Optimal Control and Applications to Aerospace: Some Results and Challenges (122 citations)
  • Genericity results for singular curves (107 citations)

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

His primary scientific interests are in Optimal control, Applied mathematics, Mathematical analysis, Control theory and Mathematical optimization. The concepts of his Optimal control study are interwoven with issues in State, Shooting method and Trajectory. His Applied mathematics research is multidisciplinary, incorporating elements of Lyapunov function, Parabolic partial differential equation, Partial differential equation, Nonlinear system and Uniqueness.

His Mathematical analysis research incorporates themes from Boundary, Controllability and Observability. In general Control theory study, his work on Control system, Robustness and Actuator often relates to the realm of Focus and Continuation, thereby connecting several areas of interest. His study in Mathematical optimization focuses on Singular control in particular.

He most often published in these fields:

  • Optimal control (40.86%)
  • Applied mathematics (26.88%)
  • Mathematical analysis (24.73%)

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

  • Optimal control (40.86%)
  • Applied mathematics (26.88%)
  • Control theory (19.00%)

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

His primary areas of investigation include Optimal control, Applied mathematics, Control theory, Lyapunov function and Mathematical analysis. His Optimal control study contributes to a more complete understanding of Mathematical optimization. His Applied mathematics research includes elements of Parabolic partial differential equation, Partial differential equation, Riccati equation, Interval and Constant.

His Lyapunov function research is multidisciplinary, relying on both Matrix, PID controller, Ordinary differential equation and Asymptotic analysis. His Mathematical analysis research is multidisciplinary, incorporating perspectives in Transformation and Boundary. His studies in Bounded function integrate themes in fields like Measure, Heat equation and Domain.

Between 2016 and 2021, his most popular works were:

  • Geometric control condition for the wave equation with a time-dependent observation domain (42 citations)
  • Feedback Stabilization of a 1-D Linear Reaction–Diffusion Equation With Delay Boundary Control (42 citations)
  • Asymptotic analysis and optimal control of an integro-differential system modelling healthy and cancer cells exposed to chemotherapy (40 citations)

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

  • Mathematical analysis
  • Quantum mechanics
  • Control theory

The scientist’s investigation covers issues in Optimal control, Lyapunov function, Mathematical analysis, Control theory and Applied mathematics. The Optimal control study combines topics in areas such as Shooting method and State. His work carried out in the field of Lyapunov function brings together such families of science as Dimension, Reaction–diffusion system, Lyapunov functional, Time delays and Classification of discontinuities.

His research investigates the connection with Mathematical analysis and areas like Controllability which intersect with concerns in Observability and Hilbert space. His Applied mathematics study incorporates themes from Convection–diffusion equation, Partial differential equation, Interval and Constant. Emmanuel Trélat has researched Mathematical optimization in several fields, including Differential systems and Dirac.

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

Contrôle optimal : théorie & applications

Emmanuel Trélat.
(2005)

461 Citations

Nonlinear Optimal Control via Occupation Measures and LMI-Relaxations

Jean B. Lasserre;Didier Henrion;Christophe Prieur;Emmanuel Trélat.
Siam Journal on Control and Optimization (2008)

242 Citations

Optimal Control and Applications to Aerospace: Some Results and Challenges

Emmanuel Trélat.
Journal of Optimization Theory and Applications (2012)

173 Citations

Second order optimality conditions in the smooth case and applications in optimal control

Bernard Bonnard;Jean-Baptiste Caillau;Emmanuel Trélat.
ESAIM: Control, Optimisation and Calculus of Variations (2007)

161 Citations

The turnpike property in finite-dimensional nonlinear optimal control

Emmanuel Trélat;Enrique Zuazua;Enrique Zuazua.
Journal of Differential Equations (2015)

143 Citations

Global Steady-State Controllability of One-Dimensional Semilinear Heat Equations

Jean-Michel Coron;Emmanuel Trélat.
Siam Journal on Control and Optimization (2004)

132 Citations

Genericity results for singular curves

Yacine Chitour;Frédéric Jean;Emmanuel Trélat.
Journal of Differential Geometry (2006)

130 Citations

Mécanique céleste et contrôle des véhicules spatiaux

Bernard Bonnard;Ludovic Faubourg;Emmanuel Trélat.
(2006)

101 Citations

Sparse stabilization and optimal control of the Cucker-Smale model

Marco Caponigro;Massimo Fornasier;Benedetto Piccoli;Emmanuel Trélat.
Mathematical Control and Related Fields (2013)

101 Citations

Uniform controllability of semidiscrete approximations of parabolic control systems

Stéphane Labbé;Emmanuel Trélat.
Systems & Control Letters (2006)

100 Citations

Editorial Boards

Best Scientists Citing Emmanuel Trélat

Didier Henrion

Didier Henrion

Czech Technical University in Prague

Publications: 49

Enrique Zuazua

Enrique Zuazua

University of Erlangen-Nuremberg

Publications: 39

Miroslav Krstic

Miroslav Krstic

University of California, San Diego

Publications: 29

Christophe Prieur

Christophe Prieur

Grenoble Alpes University

Publications: 28

Jean B. Lasserre

Jean B. Lasserre

Federal University of Toulouse Midi-Pyrénées

Publications: 25

Andrei A. Agrachev

Andrei A. Agrachev

International School for Advanced Studies

Publications: 17

Massimo Fornasier

Massimo Fornasier

Technical University of Munich

Publications: 16

Ugo Boscain

Ugo Boscain

Centre national de la recherche scientifique, CNRS

Publications: 14

Lars Grüne

Lars Grüne

University of Bayreuth

Publications: 13

Jean-Michel Coron

Jean-Michel Coron

Université Paris Cité

Publications: 13

Benedetto Piccoli

Benedetto Piccoli

Rutgers, The State University of New Jersey

Publications: 12

Robert Shorten

Robert Shorten

Imperial College London

Publications: 12

Nicola Bellomo

Nicola Bellomo

University of Granada

Publications: 12

Laurent Younes

Laurent Younes

Johns Hopkins University

Publications: 10

Heinz Schättler

Heinz Schättler

Washington University in St. Louis

Publications: 9

Lorenzo Pareschi

Lorenzo Pareschi

University of Ferrara

Publications: 9

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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