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Extended Lagrange spaces and optimal control

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Post-edited
Authors : Mehrmann, Volker (Author of the conference)
CIRM (Publisher )

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historical introduction modeling in multi-physics systems DAE - differential agebraic equations DAE - modeling application Lagrangian equations of motion automatic transmission of motion - application - car modeling of multi-physics model - multi-body system black-box modeling DAE theory constrained mechanical system DAE - numerical simulation ball in parabolic surface DAE - optimal control linear quadratic optimal control calcul of variations for ODE - Lagrange multiplier function reduced optimality system Hamiltonian matrix function Riccati equation - linear feedback Lagrangian necessary optimality condition (DAE) formal optimality system (DAE) - Lagrange multiplier structure of optimality system symplectic flow conclusion
Abstract : Mathematical modeling and numerical mathematics of today is very much Lagrangian and modern automated modeling techniques lead to differential-algebraic systems. The optimal control for such systems in general cannot be obtained using the classical Euler-Lagrange approach or the maximum principle, but it is shown how this approach can be extended.

Keywords : differential-algebraic equations; optimal control; Lagrangian subspace; necessary optimality conditions; Hamiltonian system; symplectic flow

MSC Codes :
34H05 - ODE in connection with control problems
 49K15 - Optimal control problems with ODE (optimality conditions)
 93C05 - Linear
 93C15 - Control systems governed by ODE
    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 20/01/14
    Conference Date : 19/10/2013
    Series : Special events ; Lagrange Days
    arXiv category : Optimization and Control ; Numerical Analysis
    Mathematical Area(s) : Numerical Analysis & Scientific Computing ; Control Theory & Optimization ; Mathematics in Science & Technology
    Format : QuickTime (.mov) Video Time : 00:59:43
    Targeted Audience : Researchers ; Graduate Students
    Download : https://videos.cirm-math.fr/2013-10-19_Mehrmann.mp4
Information on the Event

Event Title : Lagrange Days / Journées Lagrange
Event Organizers : Benzoni-Gavage, Sylvie ; Jouve, Guillaume
Dates : 18/10/13 - 19/10/13
Event Year : 2013
Event URL : http://math.univ-lyon1.fr/homes-www/benz...

Citation Data

DOI : 10.24350/CIRM.V.18446903
Cite this video as: Mehrmann, Volker (2013). Extended Lagrange spaces and optimal control. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18446903
URI : http://dx.doi.org/10.24350/CIRM.V.18446903

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