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Special events;Lagrange Days;Control Theory and Optimization;Dynamical Systems and Ordinary Differential Equations

Everything is under control: mathematics optimize everyday life.
In an empirical way we are able to do many things with more or less efficiency or success. When one wants to achieve a parallel parking, consequences may sometimes be ridiculous... But when one wants to launch a rocket or plan interplanetary missions, better is to be sure of what we do.
Control theory is a branch of mathematics that allows to control, optimize and guide systems on which one can act by means of a control, like for example a car, a robot, a space shuttle, a chemical reaction or in more general a process that one aims at steering to some desired target state.
Emmanuel Trélat will overview the range of applications of that theory through several examples, sometimes funny, but also historical. He will show you that the study of simple cases of our everyday life, far from insignificant, allow to approach problems like the orbit transfer or interplanetary mission design. Everything is under control: mathematics optimize everyday life.
In an empirical way we are able to do many things with more or less efficiency or success. When one wants to achieve a parallel parking, consequences may sometimes be ridiculous... But when one wants to launch a rocket or plan interplanetary missions, better is to be sure of what we do.
Control theory is a branch of mathematics that allows to control, optimize and guide systems on ...

49J15 ; 93B40 ; 93B27 ; 93B50 ; 65H20 ; 90C31 ; 37N05 ; 37N35

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Documents 49J15 | enregistrements trouvés : 18

On the space highway to Lagrange points! Trélat, Emmanuel | CIRM H Nouveau

Actes du séminaire de théorie spectrale et géométrie.Volume 29, année 2010-2011 | Institut Fourier 2011 Nouveau

Viscosity solutions and applicationslectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C.I.M.E.) June 12-20 Bardi, M. ; Crandall, M. G. ; Evans, A. ; Soner, H.M. ; Souganidis, P. E. | Springer 1997 Nouveau

Nonlinear and optimal control theory:lectures given at the C.I.M.E. summer school#June19-29 Nistri, P. ; Stefani, G. | Springer-Verlag 2008 Nouveau

Bioremediation of natural resources: how optimization and numerical simulations can help? Rousseau, Antoine | CIRM H Nouveau

Curvature: a variational approach Agrachev, Andrei ; Barilari, Davide ; Rizzi, L. | American Mathematical Society 2018 Nouveau

Mechanics, integrability, and control Atanackovic, Teodor ; Dragovic, Vladimir | Matematicki Institut SANU 2013 Nouveau

Geometry, analysis and dynamics on sub-Riemannian manifolds:Volume II Barilari, Davide ; Boscain, Ugo ; Sigalotti, Mario | European Mathematical Society 2016 Nouveau

Geometry, analysis and dynamics on sub-Riemannian manifolds:Volume I Barilari, Davide ; Boscain, Ugo ; Sigalotti, Mario | European Mathematical Society 2016 Nouveau

Mécanique céleste et contrôle des véhicules spatiaux Bonnard, Bernard ; Faubourg, Ludovic ; Trélat, Emmanuel | Springer 2006 Nouveau

Optimal syntheses for control systems on 2-D manifolds Boscain, Ugo ; Piccoli, Benedetto | Springer;SMAI 2004 Nouveau

Well-posed optimization problems Dontchev, A. L. ; Zolezzi, T. | Springer-Verlag 1993 Nouveau

Differential equations methods for the Monge-Kantorovich mass transfer problem Evans, A. ; Gangbo, W. | American Mathematical Society 1999 Nouveau

Principles of optimal control theory Gamkrelidze, R. V. ; Berkovitz, Leonard D. ; Makowski, Karol | Plenum Press 1978 Nouveau

Ordinary differential equations with constant coefficient Godunov, S. k. | American Mathematical Society 1997 Nouveau

Constrained control, problems of discrete processes Phat, Vu Ngoc | World Scientific 1996 Nouveau

Numerical methods for optimal control problems with state constraints Pytlak, Radoslaw | Springer 1999 Nouveau

Optimal control of differential and functional equations Warga, J. | Academic Press 1972 Nouveau

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Actes du séminaire de théorie spectrale et géométrie.
Volume 29, année 2010-2011 | Institut Fourier 2011 Nouveau

Viscosity solutions and applications
lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C.I.M.E.)
June 12-20 Bardi, M. ; Crandall, M. G. ; Evans, A. ; Soner, H.M. ; Souganidis, P. E. | Springer 1997 Nouveau

Nonlinear and optimal control theory:
lectures given at the C.I.M.E. summer school#June19-29 Nistri, P. ; Stefani, G. | Springer-Verlag 2008 Nouveau

Geometry, analysis and dynamics on sub-Riemannian manifolds:
Volume II Barilari, Davide ; Boscain, Ugo ; Sigalotti, Mario | European Mathematical Society 2016 Nouveau

Geometry, analysis and dynamics on sub-Riemannian manifolds:
Volume I Barilari, Davide ; Boscain, Ugo ; Sigalotti, Mario | European Mathematical Society 2016 Nouveau