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- Emmanuel Trélat

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
33
Citations
3,948
165
World Ranking
4246
National Ranking
80

Mathematics
D-index
36
Citations
5,040
208
World Ranking
1805
National Ranking
110

- 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.

- 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)

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.

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

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

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.

- 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)

- 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.

Contrôle optimal : théorie & applications

Emmanuel Trélat.

**(2005)**

478 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)**

275 Citations

Optimal Control and Applications to Aerospace: Some Results and Challenges

Emmanuel Trélat.

Journal of Optimization Theory and Applications **(2012)**

203 Citations

The turnpike property in finite-dimensional nonlinear optimal control

Emmanuel Trélat;Enrique Zuazua;Enrique Zuazua.

Journal of Differential Equations **(2015)**

185 Citations

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

Jean-Michel Coron;Emmanuel Trélat.

Siam Journal on Control and Optimization **(2004)**

168 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)**

163 Citations

Geometric optimal control of elliptic Keplerian orbits

B. Bonnard;J.-B. Caillau;E. Trélat.

Discrete and Continuous Dynamical Systems-series B **(2005)**

147 Citations

Genericity results for singular curves

Yacine Chitour;Frédéric Jean;Emmanuel Trélat.

Journal of Differential Geometry **(2006)**

131 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)**

113 Citations

Sparse Stabilization and Control of Alignment Models

Marco Caponigro;Massimo Fornasier;Benedetto Piccoli;Emmanuel Trélat.

Mathematical Models and Methods in Applied Sciences **(2015)**

112 Citations

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