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.
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