D-Index & Metrics Best Publications
Engineering and Technology
CZ
2022

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
Mathematics D-index 42 Citations 8,132 220 World Ranking 899 National Ranking 6
Engineering and Technology D-index 41 Citations 7,476 192 World Ranking 2419 National Ranking 2

Research.com Recognitions

Awards & Achievements

2022 - Research.com Engineering and Technology in Czech Republic Leader Award

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Control theory
  • Algebra

His primary scientific interests are in Mathematical optimization, Polynomial, Linear matrix inequality, Control theory and Applied mathematics. Algebra and Interface is closely connected to MATLAB in his research, which is encompassed under the umbrella topic of Mathematical optimization. His Polynomial study combines topics in areas such as Sequence and Nonlinear programming.

His Linear matrix inequality research includes themes of Nonlinear control, Robust control, Regular polygon, Linear matrix and Monotonic function. His work deals with themes such as Set and Heuristic, which intersect with Control theory. His biological study spans a wide range of topics, including Discrete mathematics, Semidefinite programming, Stable polynomial and Matrix polynomial.

His most cited work include:

  • GloptiPoly 3: moments, optimization and semidefinite programming (400 citations)
  • GloptiPoly: Global optimization over polynomials with Matlab and SeDuMi (351 citations)
  • Convex Computation of the Region of Attraction of Polynomial Control Systems (222 citations)

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

His main research concerns Polynomial, Applied mathematics, Mathematical optimization, Semidefinite programming and Linear matrix inequality. His research in Polynomial intersects with topics in Discrete mathematics, Linear programming, Real algebraic geometry and Optimal control. His Applied mathematics research incorporates themes from Hierarchy, Measure, State, Invariant and Nonlinear system.

His Mathematical optimization research integrates issues from Sequence, MATLAB and Rational function. Didier Henrion combines subjects such as Feasible region, Conic optimization, Convex optimization, Regular polygon and Moment problem with his study of Semidefinite programming. In his study, which falls under the umbrella issue of Linear matrix inequality, Piecewise is strongly linked to Nonlinear control.

He most often published in these fields:

  • Polynomial (57.81%)
  • Applied mathematics (42.74%)
  • Mathematical optimization (38.36%)

What were the highlights of his more recent work (between 2018-2021)?

  • Applied mathematics (42.74%)
  • Polynomial (57.81%)
  • Semidefinite programming (49.04%)

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

Didier Henrion mostly deals with Applied mathematics, Polynomial, Semidefinite programming, Hierarchy and Set. His Applied mathematics research focuses on Initial value problem and how it relates to Linear system, Intersection, Linear-quadratic regulator, Quadratic equation and Bounded function. His Polynomial study integrates concerns from other disciplines, such as Discrete mathematics, Lyapunov function, Real algebraic geometry, Convex analysis and Function.

Semidefinite programming is a subfield of Mathematical optimization that Didier Henrion tackles. His research in Mathematical optimization tackles topics such as Regular polygon which are related to areas like Auxiliary function. His Hierarchy research is multidisciplinary, incorporating elements of Optimal control, Linear matrix inequality, Nonlinear system, Upper and lower bounds and Numerical analysis.

Between 2018 and 2021, his most popular works were:

  • Approximate Optimal Designs for Multivariate Polynomial Regression (18 citations)
  • Semidefinite Approximations of Reachable Sets for Discrete-time Polynomial Systems (16 citations)
  • Exploiting Sparsity for Semi-Algebraic Set Volume Computation. (13 citations)

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

  • Mathematical analysis
  • Control theory
  • Algebra

Didier Henrion mainly focuses on Applied mathematics, Hierarchy, Semidefinite programming, Set and Nonlinear system. His Applied mathematics study combines topics from a wide range of disciplines, such as Initial value problem, LTI system theory, Reachability and Electric power system. Didier Henrion has included themes like State, Numerical analysis, Classification of discontinuities and Optimal control in his Hierarchy study.

His Semidefinite programming research is multidisciplinary, relying on both Discrete mathematics, Polynomial, Christoffel symbols and Convex optimization. The various areas that Didier Henrion examines in his Polynomial study include Lyapunov function, Differential equation, Indicator function and Subderivative, Convex cone. The study incorporates disciplines such as Approximations of π and Moment problem in addition to Set.

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

GloptiPoly 3: moments, optimization and semidefinite programming

Didier Henrion;Jean-Bernard Lasserre;Johan Lofberg.
Optimization Methods & Software (2009)

534 Citations

GloptiPoly: Global optimization over polynomials with Matlab and SeDuMi

Didier Henrion;Jean-Bernard Lasserre.
ACM Transactions on Mathematical Software (2003)

458 Citations

HIFOO - A MATLAB package for fixed-order controller design and H ∞ optimization

J.V. Burke;D. Henrion;A.S. Lewis;M.L. Overton.
IFAC Proceedings Volumes (2006)

308 Citations

Detecting global optimality and extracting solutions in GloptiPoly

Didier Henrion;Jean-Bernard Lasserre.
(2003)

303 Citations

Positive Polynomials in Control

Didier Henrion;Andrea Garulli.
(2005)

291 Citations

Convex Computation of the Region of Attraction of Polynomial Control Systems

Didier Henrion;Milan Korda.
IEEE Transactions on Automatic Control (2014)

264 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

Positive polynomials and robust stabilization with fixed-order controllers

D. Henrion;M. Sebek;V. Kucera.
IEEE Transactions on Automatic Control (2003)

240 Citations

Convergent relaxations of polynomial matrix inequalities and static output feedback

D. Henrion;J.-B. Lasserre.
IEEE Transactions on Automatic Control (2006)

233 Citations

Stabilization via Nonsmooth, Nonconvex Optimization

J.V. Burke;D. Henrion;A.S. Lewis;M.L. Overton.
IEEE Transactions on Automatic Control (2006)

179 Citations

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