H-Index & Metrics Best Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics D-index 51 Citations 26,620 265 World Ranking 506 National Ranking 254

Research.com Recognitions

Awards & Achievements

2013 - Fellow of the American Mathematical Society

2009 - SIAM Fellow For contributions to stochastics and control.

1989 - Member of Academia Europaea

1986 - IEEE Fellow For contributions to stochastic control theory and the control of distributed parameter systems.

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Statistics
  • Finance

His scientific interests lie mostly in Mathematical analysis, Stochastic control, Applied mathematics, Mathematical optimization and Optimal control. As a part of the same scientific study, Alain Bensoussan usually deals with the Stochastic control, concentrating on Linear-quadratic-Gaussian control and frequently concerns with Bibliography. His Applied mathematics research is multidisciplinary, incorporating elements of Mathematical economics, Stochastic game, Control theory and Partial differential equation.

His Partial differential equation research integrates issues from Weak convergence, Operator, Sign, Nash equilibrium and Differential equation. Alain Bensoussan has researched Weak convergence in several fields, including Mathematical proof, Asymptotic homogenization and Asymptotic analysis. His work on Maximum principle and Bellman equation as part of general Mathematical optimization research is frequently linked to Maximum power point tracking and Electricity generation, bridging the gap between disciplines.

His most cited work include:

  • Asymptotic analysis for periodic structures (4333 citations)
  • Asymptotic analysis for periodic structures (4333 citations)
  • Representation and Control of Infinite Dimensional Systems (708 citations)

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

The scientist’s investigation covers issues in Mathematical optimization, Applied mathematics, Mathematical analysis, Stochastic control and Bellman equation. The concepts of his Mathematical optimization study are interwoven with issues in Sufficient statistic, Constraint and Inventory control. His research on Applied mathematics focuses in particular on Stochastic differential equation.

His work is connected to Variational inequality and Partial differential equation, as a part of Mathematical analysis. His work is dedicated to discovering how Partial differential equation, Mathematical economics are connected with Differential game and other disciplines. Stochastic control is the subject of his research, which falls under Control theory.

He most often published in these fields:

  • Mathematical optimization (37.95%)
  • Applied mathematics (21.49%)
  • Mathematical analysis (15.42%)

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

  • Mathematical optimization (37.95%)
  • Applied mathematics (21.49%)
  • Bellman equation (18.02%)

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

His primary areas of study are Mathematical optimization, Applied mathematics, Bellman equation, Stochastic control and Mathematical economics. In general Mathematical optimization study, his work on Time horizon often relates to the realm of Electricity generation, thereby connecting several areas of interest. His study of Stochastic differential equation is a part of Applied mathematics.

His studies deal with areas such as Wiener process, Filtration, Boundary value problem and Probability space as well as Stochastic control. His research in Mathematical economics intersects with topics in Uniqueness and Optimal control. His Fokker–Planck equation study in the realm of Partial differential equation interacts with subjects such as A priori and a posteriori.

Between 2016 and 2021, his most popular works were:

  • A Prediction Model-Guided Jaya Algorithm for the PV System Maximum Power Point Tracking (94 citations)
  • On the interpretation of the Master Equation (42 citations)
  • On the interpretation of the Master Equation (42 citations)

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

  • Mathematical analysis
  • Statistics
  • Finance

His main research concerns Mathematical optimization, Type, Dynamic programming, Applied mathematics and Mathematical economics. His work on Time horizon as part of general Mathematical optimization study is frequently linked to Economic shortage, therefore connecting diverse disciplines of science. His Applied mathematics research incorporates elements of Calculus of variations, Optimal control, Continuum, State and Infinitesimal.

His Optimal control research is multidisciplinary, relying on both Quadratic equation, Partial differential equation and Group. His biological study spans a wide range of topics, including Dual, Connection, Stochastic differential equation and Adjoint equation, Differential equation. His research integrates issues of Uniqueness and Probability measure in his study of Mathematical economics.

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

Asymptotic analysis for periodic structures

Alain Bensoussan;Alain Bensoussan;Jacques Louis Lions;George Papanicolaou.
(1978)

7793 Citations

Representation and Control of Infinite Dimensional Systems

Alain Bensoussan;Michel C. Delfour;Giuseppe Da Prato;Sanjoy K. Mitter.
(1993)

1411 Citations

Impulse Control and Quasi-Variational Inequalities

Alain Bensoussan;Jacques Louis Lions.
(1984)

784 Citations

Stochastic Control of Partially Observable Systems

Alain Bensoussan.
(1992)

713 Citations

Applications of variational inequalities in stochastic control

Alain Bensoussan.
(1982)

601 Citations

Mean Field Games and Mean Field Type Control Theory

Alain Bensoussan;Jens Frehse;Phillip Yam.
(2013)

576 Citations

Asymptotic Analysis of Periodic Structures

Alain Bensoussan;Jacques-Louis Lions;George Papanicolaou;T. K. Caughey.
Journal of Applied Mechanics (1979)

522 Citations

Perturbation Methods in Optimal Control

Alain Bensoussan.
(1988)

448 Citations

On the theory of option pricing

A. Bensoussan.
Acta Applicandae Mathematicae (1984)

447 Citations

Lectures on stochastic control

A. Bensoussan.
(1982)

434 Citations

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