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.
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