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 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.
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.
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
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)
Optimal Control and Applications to Aerospace: Some Results and Challenges
Journal of Optimization Theory and Applications (2012)
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)
The turnpike property in finite-dimensional nonlinear optimal control
Emmanuel Trélat;Enrique Zuazua;Enrique Zuazua.
Journal of Differential Equations (2015)
Global Steady-State Controllability of One-Dimensional Semilinear Heat Equations
Jean-Michel Coron;Emmanuel Trélat.
Siam Journal on Control and Optimization (2004)
Genericity results for singular curves
Yacine Chitour;Frédéric Jean;Emmanuel Trélat.
Journal of Differential Geometry (2006)
Mécanique céleste et contrôle des véhicules spatiaux
Bernard Bonnard;Ludovic Faubourg;Emmanuel Trélat.
Sparse stabilization and optimal control of the Cucker-Smale model
Marco Caponigro;Massimo Fornasier;Benedetto Piccoli;Emmanuel Trélat.
Mathematical Control and Related Fields (2013)
Uniform controllability of semidiscrete approximations of parabolic control systems
Stéphane Labbé;Emmanuel Trélat.
Systems & Control Letters (2006)
ESAIM - Control, Optimisation and Calculus of Variations
(Impact Factor: 1.708)
Profile was last updated on December 6th, 2021.
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